Question

consider the following piecewise-defined function.
step 3 of 3: evaluate this function at ( x = -1 ). express your answer as an integer or simplified fraction. if the function is undefined at the given value, indicate \undefined\.
f(x) = \begin{cases} \frac{3}{4}x + 3 & \text{if } x leq -2 \\ -2x - 3 & \text{if } x > -2 end{cases}
answer 2 points
selecting a radio button will replace the entered answer value(s) with the radio button value. if the radio button is not selected, the entered answer is used.
( f(-1) = )
( \bigcirc ) undefined

Explanation:

Step1: Determine the applicable function

Given \( x = -1 \), we check the conditions. The first condition is \( x \leq -2 \) and the second is \( x > -2 \). Since \( -1 > -2 \), we use the function \( f(x) = -2x - 3 \).

Step2: Substitute \( x = -1 \) into the function

Substitute \( x = -1 \) into \( f(x) = -2x - 3 \):
\( f(-1) = -2(-1) - 3 \)
\( = 2 - 3 \)
\( = -1 \)

Answer:

\( -1 \)