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f(x) = -5x + x5 X x | y -2 -1 0 1 2

f(x) = -5x + x5 X x | y -2 -1 0 1 2

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Fill out the table of values and select whether each function is odd, even or neither.
The image contains two mathematical functions and their respective tables for evaluating the functions at specific values of \(x\). **First Function:** \( f(x) = -5x + x^5 \) - A table is provided with columns labeled \(x\) and \(y\), where \(y\) is the result of the function for each value of \(x\): - \(x = -2\), \(x = -1\), \(x = 0\), \(x = 1\), \(x = 2\) - The \(y\) values for each \(x\) need to be calculated and filled in the table. **Second Function:** \( f(x) = -5x^4 + 1 \) - Another table is provided similar to the first, with columns labeled \(x\) and \(y\): - \(x = -2\), \(x = -1\), \(x = 0\), \(x = 1\), \(x = 2\) - Calculate the \(y\) values using the function for each corresponding \(x\) and fill them into the table. These tables are typically used in educational settings for students to practice evaluating functions at given points and understanding how changes in \(x\) affect \(y\).
Transcribed Image Text:The image contains two mathematical functions and their respective tables for evaluating the functions at specific values of \(x\). **First Function:** \( f(x) = -5x + x^5 \) - A table is provided with columns labeled \(x\) and \(y\), where \(y\) is the result of the function for each value of \(x\): - \(x = -2\), \(x = -1\), \(x = 0\), \(x = 1\), \(x = 2\) - The \(y\) values for each \(x\) need to be calculated and filled in the table. **Second Function:** \( f(x) = -5x^4 + 1 \) - Another table is provided similar to the first, with columns labeled \(x\) and \(y\): - \(x = -2\), \(x = -1\), \(x = 0\), \(x = 1\), \(x = 2\) - Calculate the \(y\) values using the function for each corresponding \(x\) and fill them into the table. These tables are typically used in educational settings for students to practice evaluating functions at given points and understanding how changes in \(x\) affect \(y\).
### Function and Table Analysis #### Function Definition The function provided is: \[ f(x) = -5x^3 + 1 \] #### Table Description The table is designed to calculate the values of \( f(x) \) based on different inputs of \( x \). It includes the following columns: - **Column 1 (x):** Represents the input values for the function. - **Column 2 (y):** The calculated output \( f(x) \) for each input \( x \). The table includes the following rows for \( x \): - \( x = -2 \) - \( x = -1 \) - \( x = 0 \) - \( x = 1 \) - \( x = 2 \) Each \( y \) box next to the values of \( x \) is left empty for the calculation of \( f(x) \). #### Instructions - To fill in each \( y \) value, substitute the corresponding \( x \) value into the function \( f(x) = -5x^3 + 1 \). - Calculate the result for each \( x \) to complete the table. This exercise is designed to help students understand and apply function evaluation with a cubic polynomial equation.
Transcribed Image Text:### Function and Table Analysis #### Function Definition The function provided is: \[ f(x) = -5x^3 + 1 \] #### Table Description The table is designed to calculate the values of \( f(x) \) based on different inputs of \( x \). It includes the following columns: - **Column 1 (x):** Represents the input values for the function. - **Column 2 (y):** The calculated output \( f(x) \) for each input \( x \). The table includes the following rows for \( x \): - \( x = -2 \) - \( x = -1 \) - \( x = 0 \) - \( x = 1 \) - \( x = 2 \) Each \( y \) box next to the values of \( x \) is left empty for the calculation of \( f(x) \). #### Instructions - To fill in each \( y \) value, substitute the corresponding \( x \) value into the function \( f(x) = -5x^3 + 1 \). - Calculate the result for each \( x \) to complete the table. This exercise is designed to help students understand and apply function evaluation with a cubic polynomial equation.
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