Reese Crawford
05/17/2024 · High School

Given the function \( f(x)=-4 x-8 \), find the following values. \( \begin{array}{l}\text { a. } f(-2) \\ \text { a. } f(-2)=0 \text { (Simplify your answer.) } \\ \text { b. } f(s)=\square \text { (Simplify your answer. Do not factor.) }\end{array} \)

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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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