Algebra Function Worksheets with Answer Keys
Feel free to download and enjoy these free worksheets on functions and relations .Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.
- Domain and Range (Algebra 1)
- Functions vs Relations (distinguish function from relation, state domain etc..) (Algebra 2)
- Evaluating Functions (Algebra 2)
- 1 to 1 Functions (Algebra 2)
- Composition of Functions (Algebra 2)
- Inverse Functions Worksheet (Algebra 2)
- Operations With Functions (Algebra 2)
- Functions Review Worksheet (Algebra 2)
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Comparing Properties of Two Functions Worksheets
In math we use functions to model situations or phenomena that is consistent. While there may be some limits to the level of accuracy that be exhibited, they are very help for understanding a scenario and predicting changes that can be made to improve an outcome. There will be times when you have multiple options of how you can use a function and analyzing and comparing those possible uses of functions can indicate which would be best for our situation. We lean heavily on the use of graphs to understand the nature of functions, but they are not always practical solutions. In this section we will focus on analyzing function tables and algebraic comparisons. These worksheets and lessons teach students how to compare the various properties of functions.
Aligned Standard: Grade 8 Functions - 8.F.A.2
- Compare the Functions Step-by-Step Lesson - You are provided two functions in equation and table form. Compare them as best you can.
- Guided Lesson - We look at positive and negative slope and what it means about the relationship between the two functions.
- Guided Lesson Explanation - These problems involve a great deal of slope calculations. Make sure your students have that skill down pat before moving on to this skill.
- Independent Practice -Not only are the problems themselves lengthy, the answers take up a great deal of paper to solve.
- Matching Worksheet - Solve all the word problems to find their match. This one only has 4 problems because of the sheer volume the problems take up.
- Co Functions Worksheet Five Pack - This pack and the next is here to show you the next level of material that is coming up for this topic.
- Composition of Functions Worksheet Five Pack - This really boils down to the old plug the numbers in and solve type of problem.
- Answer Keys - These are for all the unlocked materials above.
Homework Sheets
Compare the functions and the input/output charts for slope.
- Homework 1 - The equation of straight line is y = mx +b Slope is the rate of change. The coefficient of x is the slope of the line.
- Homework 2 - Compare the two linear functions listed below and determine which has a negative slope.
- Homework 3 - Will is a shop keeper. He has 25 toys at the start of the day. He sold 5 toys per day. Write the rule for the total number of sold toys as a function of the number of days (d). c = 25 - 5d
Practice Worksheets
This is a skill that covers a lot of ground and can be interpreted many different ways.
- Practice 1 - Roy starts with $100. He spends $10 per week. Let y be the amount remaining as a function of the number of weeks, x.
- Practice 2 - Determine which has the greater rate of change.
- Practice 3 - Compare the following functions to determine which has the greater rate of change.
Math Skill Quizzes
The variable g(x) is introduced and sometimes it will make the kids' heads' spin
- Quiz 1 - Compare the following functions to determine which has the greater rate of change.
- Quiz 2 - Using f(x) = 5x + 5 and g(x) = x + 2, find: f[f(3)]
- Quiz 3 - Simplify Cot (90-x) tan x
How to Compare the Properties of Two Functions
A function is a mathematical relationship that takes in an input and based on the rule that is assigned will produce an output. They are a concept which needs to be adequately understood so that it doesn't create problems in the future. Most students might not know that this concept will get more difficult as you move to higher classes. Functions can be represented in many different ways. The most common ways to illustrate them is through the use of an input-output table, equation, or graph. There are three ways to compare the math relationships, i.e., algebraically, numerically, and graphically.
Let us compare two functions numerically. Let us consider an example of y = 3x + 5. In this example, y is a dependent of x, so in other words, if we keep on changing the value of x, then y will increase as well. Let's look at the table as an example.
x, y = (-1, 2), (0, 5), (4, 17), (-5, -10)
Comparing functions graphically is probably the easiest to understand. You cannot always use this method because sometimes the inputs and outputs simply do not fit neatly on a coordinate plane. We compared the graph of two functions below:
Can you spot any significant trends? Starting with the function represented by the blue line, we can clearly see that as the value of x increases, the value of y decreases. The function represented by the green line, on the other hand, has a much different trend. As the value of x increases, on the green line, so does the value of y. Graphs like this help us understand the nature of functions and make solid predictions of them.
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Lesson 5 Homework Practice Compare Properties Of Functions
Lesson 5 Homework Practice Compare Properties Of Functions - Displaying top 8 worksheets found for this concept.
Some of the worksheets for this concept are Homework practice and problem solving practice workbook, , Lesson 4 homework practice, Homework practice and problem solving practice workbook, Lesson 39 comparison of functions, Word problem practice workbook, Lesson exponential functions, Holt algebra 1.
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1. Homework Practice and Problem-Solving Practice Workbook
2. connected.mcgraw-hill, 3. lesson 4 homework practice -, 4. homework practice and problem-solving practice workbook, 5. lesson 39: comparison of functions, 6. word problem practice workbook, 7. lesson 5.1 exponential functions, 8. holt algebra 1.
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Lesson 5 Homework Practice Compare Properties Of Functions
Displaying top 8 worksheets found for - Lesson 5 Homework Practice Compare Properties Of Functions .
Some of the worksheets for this concept are Homework practice and problem solving practice workbook, , Lesson 4 homework practice, Homework practice and problem solving practice workbook, Lesson 39 comparison of functions, Word problem practice workbook, Lesson exponential functions, Holt algebra 1.
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1. Homework Practice and Problem-Solving Practice Workbook
2. connected.mcgraw-hill, 3. lesson 4 homework practice -, 4. homework practice and problem-solving practice workbook, 5. lesson 39: comparison of functions, 6. word problem practice workbook, 7. lesson 5.1 exponential functions, 8. holt algebra 1.
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Lesson 5 Homework Practice Compare Properties Of Functions
Showing top 8 worksheets in the category - Lesson 5 Homework Practice Compare Properties Of Functions .
Some of the worksheets displayed are Homework practice and problem solving practice workbook, , Lesson 4 homework practice, Homework practice and problem solving practice workbook, Lesson 39 comparison of functions, Word problem practice workbook, Lesson exponential functions, Holt algebra 1.
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1. Homework Practice and Problem-Solving Practice Workbook
2. connected.mcgraw-hill, 3. lesson 4 homework practice -, 4. homework practice and problem-solving practice workbook, 5. lesson 39: comparison of functions, 6. word problem practice workbook, 7. lesson 5.1 exponential functions, 8. holt algebra 1.
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sa commission for every painting he sells. The equation c = 40p + 75, where c is the commission in dollars and p is the number. of paintings, represents how much he earns. Ma. tin's commissions are shown in the table. Compare the functions by compa. Sold23Commission ($)115150185The y-intercept of Joshua's e.
Lesson 5 Problem-Solving Practice Compare Properties of Functions
Use two points on the graph to find the rate of change, or speed, of the Zebra. Compare the speed of the Zebra to the speed of the Lion
Now, with expert-verified solutions from Glencoe Math Course 3, Volume 1 1st Edition, you'll learn how to solve your toughest homework problems. Our resource for Glencoe Math Course 3, Volume 1 includes answers to chapter exercises, as well as detailed information to walk you through the process step by step.
The equation c = 40p + 75, where c is the commission in dollars and p is the number of paintings, represents how much he earns. Martin's commissions are shown in the table. Compare the functions by comparing their y-intercepts and rates of change. The y-intercept of Joshua's earnings equation is 80 and Martin's is 75.
Compare properties of linear functions (rates of change and intercepts) and use this information to solve problems. Identify and interpret key features of a graph that models a relationship between two quantities.
Compare the speeds for each part of her walk. First part: 4 feet per second; Second part: 5 feet per second. The rate for the last three miles is greater by one foot per second. 2. The fees to print pictures from an online company are represented by the function c = 3 + 0.09p where c is the total cost and p is the number of pictures printed.
Problem. f is a function defined on all real numbers. Its formula is given below. g is a function defined on all integers between − 3 and 3 (inclusive). Its values are given in the table below. Which of the features are shared by f ( x) and g ( x) ? They are both odd. They are both odd. -intercept.
Find the rate of change in the equation, then find the rate of change from the table. Substitute 5 into the equation to find how far the Japanese train can ...
6.5 Comparing Properties of Linear Functions.notebook 8 October 15, 2015. 6.5 Comparing Properties of Linear Functions.notebook 9 October 15, 2015. 6.5 Comparing Properties of Linear Functions.notebook 10 October 15, 2015. Homework: pg 299-308 #. 6.5 Comparing Properties of Linear Functions.notebook 11 October 15, 2015.
Simplify Algebraic Expressions Identify the terms, like terms, coefficients, and constants in each expression.
Lesson 5 Homework Practice SHOW ALL WORK on a Compare and Order Rational Numbers Fill in _ with <, >, or = to make a true statement. 1. −44 25 −4.12 2. 7.6 −8.5 3. 8 11
She will be up to 21 pounds. (y = 4x + 1) Kappa will only be up to 17 pounds. (y = 3x + 2). 2. Two contestants on Biggest Loser are Valerie and Oscar. Their weight loss progress is shown below. Valerie's weight loss is shown by this function, where. W is her weight in pounds and t is the time in weeks. 235 2.5.
Free printable Function worksheets (pdf) with answer keys on the domain/range, evaluating functions, composition of functions ,1 to 1 , and more.
The graph shows the fees for Clear Image Studio. Compare the functions by comparing their rates of change. commission for every painting he sells. The equation c = 40p + 75, where c is the commission in dollars and p is the number of paintings, represents how much he earns. Martin's commissions are shown in the table.
Algebra: Properties Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
Homework Sheets. Compare the functions and the input/output charts for slope. Homework 1 - The equation of straight line is y = mx +b Slope is the rate of change. The coefficient of x is the slope of the line. Homework 2 - Compare the two linear functions listed below and determine which has a negative slope. Homework 3 - Will is a shop keeper.
Decrease amplitude of periodic function. Change to cf (x), where 0<c<1. Inverse functions. Function f (x) produces range y and inverse function g (y) takes y as its domain to produce range x. Horizontal-Line Test. If the graph of y = f (x) has only one intersection with a horizontal line, then the function has an inverse. Extreme value.
1.6 Determining Limits Using Algebraic Manipulation. 2.1 Defining Average and Instantaneous Rate of Change at a Point. 2.2 Defining the Derivative of a Function and Using Derivative Notation. 2.3 Estimating Derivatives of a Function at a Point. 2.6 Derivative Rules: Constant, Sum, Difference, and Constant Multiple.
Some of the worksheets for this concept are Homework practice and problem solving practice workbook, , Lesson 4 homework practice, Homework practice and problem solving practice workbook, Lesson 39 comparison of functions, Word problem practice workbook, Lesson exponential functions, Holt algebra 1.
12. If the domains of f(x) and g(x) were extended to include all real numbers greater than or equal to 0, what would their y-intercepts be?
Some of the worksheets for this concept are Homework practice and problem solving practice workbook, , Lesson 4 homework practice, Homework practice and problem solving practice workbook, Lesson 39 comparison of functions, Word problem practice workbook, Lesson exponential functions, Holt algebra 1.
Some of the worksheets displayed are Homework practice and problem solving practice workbook, , Lesson 4 homework practice, Homework practice and problem solving practice workbook, Lesson 39 comparison of functions, Word problem practice workbook, Lesson exponential functions, Holt algebra 1.