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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![### 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab90fdf9-da41-461c-9056-08da6acfe393%2F278d28da-19b2-413b-9826-f96d07bd1eae%2Fz2u7edh_processed.jpeg&w=3840&q=75)
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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