Question

consider the following piece - wise - defined function.
f(x)=\begin{cases}-x + 6&\text{if }xleq - 2\\4x-7&\text{if }x > - 2end{cases}
step 2 of 3: evaluate this function at (x=-5). express your answer as an integer or simplified fraction. if the function is undefined at the given value, indicate \undefined\.
answer
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(-5)=
o undefined

Explanation:

Step1: Determine which part of the function to use

Since $-5\leq - 2$, we use $f(x)=-x + 6$.

Step2: Substitute $x=-5$ into the function

$f(-5)=-(-5)+6$.

Step3: Simplify the expression

$f(-5)=5 + 6=11$.

Answer:

$11$