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5. Find the range of the function y = 7x -1 when the domain is {-1, 0, 1}

5. Find the range of the function y = 7x -1 when the domain is {-1, 0, 1}

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section: Chapter Questions
Problem 74SGR
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### Analyzing the Provided Mathematical Function and Its Graphical Representation **3. Linear Function: y = 2x** This section displays a table and a blank graph for the linear function \( y = 2x \). **Table Values:** - \( x = -1 \): \( y = -2 \) - \( x = 0 \): \( y = 0 \) - \( x = 1 \): \( y = 2 \) - \( x = 2 \): \( y = 4 \) These values indicate a straightforward linear relationship where the output \( y \) is exactly twice the input \( x \). **Graph:** The graph is currently blank with a highlighted point at the origin (0,0). The given values on the table, if plotted, would form a straight line through this point following the equation \( y = 2x \). --- **5. Determine the Range of the Function** **Function:** \( y = 7x - 1 \) **Domain:** \(\{-1, 0, 1\}\) **Calculation of Range:** - For \( x = -1 \): \( y = 7(-1) - 1 = -8 \) - For \( x = 0 \): \( y = 7(0) - 1 = -1 \) - For \( x = 1 \): \( y = 7(1) - 1 = 6 \) **Resultant Range:** \(\{-8, -1, 6\}\) This section guides students through calculating the range of the function based on the specified domain, illustrating how to process linear equations to find corresponding outputs.
Transcribed Image Text:### Analyzing the Provided Mathematical Function and Its Graphical Representation **3. Linear Function: y = 2x** This section displays a table and a blank graph for the linear function \( y = 2x \). **Table Values:** - \( x = -1 \): \( y = -2 \) - \( x = 0 \): \( y = 0 \) - \( x = 1 \): \( y = 2 \) - \( x = 2 \): \( y = 4 \) These values indicate a straightforward linear relationship where the output \( y \) is exactly twice the input \( x \). **Graph:** The graph is currently blank with a highlighted point at the origin (0,0). The given values on the table, if plotted, would form a straight line through this point following the equation \( y = 2x \). --- **5. Determine the Range of the Function** **Function:** \( y = 7x - 1 \) **Domain:** \(\{-1, 0, 1\}\) **Calculation of Range:** - For \( x = -1 \): \( y = 7(-1) - 1 = -8 \) - For \( x = 0 \): \( y = 7(0) - 1 = -1 \) - For \( x = 1 \): \( y = 7(1) - 1 = 6 \) **Resultant Range:** \(\{-8, -1, 6\}\) This section guides students through calculating the range of the function based on the specified domain, illustrating how to process linear equations to find corresponding outputs.
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