Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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### Calculating Values for the Function \( f(x) = 3x^2 - 8x + 8 \) Given the quadratic function \( f(x) = 3x^2 - 8x + 8 \), calculate the following values: 1. \( f(-2) = \) 2. \( f(-1) = \) 3. \( f(0) = \) 4. \( f(1) = \) 5. \( f(2) = \) To calculate the values, substitute the given \( x \) values into the function and simplify. #### Detailed Explanations: 1. **For \( x = -2 \):** \[ f(-2) = 3(-2)^2 - 8(-2) + 8 \] Simplify the expression to find the value. 2. **For \( x = -1 \):** \[ f(-1) = 3(-1)^2 - 8(-1) + 8 \] Simplify the expression to find the value. 3. **For \( x = 0 \):** \[ f(0) = 3(0)^2 - 8(0) + 8 \] Simplify the expression to find the value. 4. **For \( x = 1 \):** \[ f(1) = 3(1)^2 - 8(1) + 8 \] Simplify the expression to find the value. 5. **For \( x = 2 \):** \[ f(2) = 3(2)^2 - 8(2) + 8 \] Simplify the expression to find the value.
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Transcribed Image Text:### Calculating Values for the Function \( f(x) = 3x^2 - 8x + 8 \) Given the quadratic function \( f(x) = 3x^2 - 8x + 8 \), calculate the following values: 1. \( f(-2) = \) 2. \( f(-1) = \) 3. \( f(0) = \) 4. \( f(1) = \) 5. \( f(2) = \) To calculate the values, substitute the given \( x \) values into the function and simplify. #### Detailed Explanations: 1. **For \( x = -2 \):** \[ f(-2) = 3(-2)^2 - 8(-2) + 8 \] Simplify the expression to find the value. 2. **For \( x = -1 \):** \[ f(-1) = 3(-1)^2 - 8(-1) + 8 \] Simplify the expression to find the value. 3. **For \( x = 0 \):** \[ f(0) = 3(0)^2 - 8(0) + 8 \] Simplify the expression to find the value. 4. **For \( x = 1 \):** \[ f(1) = 3(1)^2 - 8(1) + 8 \] Simplify the expression to find the value. 5. **For \( x = 2 \):** \[ f(2) = 3(2)^2 - 8(2) + 8 \] Simplify the expression to find the value.
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