Reese Crawford
05/17/2024 · High School
Given the function \( f(x)=-4 x-8 \), find the following values. \( \begin{array}{l}\text { a. } f(-2) \\ \text { a. } f(-2)=0 \text { (Simplify your answer.) } \\ \text { b. } f(s)=\square \text { (Simplify your answer. Do not factor.) }\end{array} \)
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 the given inputs.
### Part a: Find \( f(-2) \)
We substitute \( -2 \) into the function:
\[
f(-2) = -4(-2) - 8
\]
Calculating this step-by-step:
1. Calculate \( -4 \times -2 \):
\[
-4 \times -2 = 8
\]
2. Now substitute this back into the equation:
\[
f(-2) = 8 - 8
\]
3. Finally, simplify:
\[
f(-2) = 0
\]
So, the answer for part a is:
\[
f(-2) = 0
\]
### Part b: Find \( f(s) \)
Now we will find \( f(s) \) by substituting \( s \) into the function:
\[
f(s) = -4s - 8
\]
This expression is already simplified and does not need factoring.
So, the answer for part b is:
\[
f(s) = -4s - 8
\]
In summary:
- Part a: \( f(-2) = 0 \)
- Part b: \( f(s) = -4s - 8 \)
Quick Answer
a. \( f(-2) = 0 \)
b. \( f(s) = -4s - 8 \)
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