### 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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Answered: Given the function f(x) = 3x² - 8x + 8.…

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Given the function f(x) = 3x² - 8x + 8. Calculate the following values: f(-2)= f(-1) = f(0) f(1) = f(2)= =

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

### 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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