Peters Chan
03/09/2023 · Senior High School
Given the function \( f(x)=-4 x-8 \), find the following values. \( \begin{array}{llll}\text { a. } f(-2) & \text { b. } f(s) & \text { c. } f(-x) & \text { d. } f(x+h)\end{array} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the values for the function \( f(x) = -4x - 8 \), we will evaluate it for each of the specified cases.
### a. \( f(-2) \)
To find \( f(-2) \), we substitute \(-2\) into the function:
\[
f(-2) = -4(-2) - 8
\]
\[
= 8 - 8
\]
\[
= 0
\]
### b. \( f(s) \)
To find \( f(s) \), we substitute \( s \) into the function:
\[
f(s) = -4s - 8
\]
### c. \( f(-x) \)
To find \( f(-x) \), we substitute \(-x\) into the function:
\[
f(-x) = -4(-x) - 8
\]
\[
= 4x - 8
\]
### d. \( f(x+h) \)
To find \( f(x+h) \), we substitute \( x+h \) into the function:
\[
f(x+h) = -4(x+h) - 8
\]
\[
= -4x - 4h - 8
\]
### Summary of Results
- a. \( f(-2) = 0 \)
- b. \( f(s) = -4s - 8 \)
- c. \( f(-x) = 4x - 8 \)
- d. \( f(x+h) = -4x - 4h - 8 \)
Quick Answer
a. \( f(-2) = 0 \)
b. \( f(s) = -4s - 8 \)
c. \( f(-x) = 4x - 8 \)
d. \( f(x+h) = -4x - 4h - 8 \)
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