{:[f(x)={[-3," for ",x -3]:}],[" Find "f(-8)]:} Answer:

Identify Function Case: To find f(-8), we need to determine which part of the piecewise function applies when x = -8. The function f(x) is defined differently for three cases: when x -3. Since -8 is less than -3, we use the first case of the function, which is f(x) = -3.Calculate f(-8): Now that we have identified the correct case, we can find the value of f(-8). According to the function, f(-8) = -3 because -8 falls into the range where x < -3.

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{:[f(x)={[-3," for ",x < -3],[-6," for ",x=-3],[-2x-7," for ",x > -3]:}],[" Find "f(-8)]:}
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$\begin{array}{c} f(x)=\left\{\begin{array}{lll} -3 & \text { for } & x<-3 \\ -6 & \text { for } & x=-3 \\ -2 x-7 & \text { for } & x>-3 \end{array}\right. \\ \text { Find } f(-8) \end{array}$ $\newline$ Answer: $\newline$

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\begin{array}{c} f(x)=\left\{\begin{array}{lll} -3 & \text { for } & x<-3 \\ -6 & \text { for } & x=-3 \\ -2 x-7 & \text { for } & x>-3 \end{array}\right. \\ \text { Find } f(-8) \end{array}

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Answer:

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Identify Function Case: To find $f(-8)$ , we need to determine which part of the piecewise function applies when $x = -8$ . $\newline$ The function $f(x)$ is defined differently for three cases: when x < -3, when $x = -3$ , and when x > -3. $\newline$ Since $-8$ is less than $-3$ , we use the first case of the function, which is $f(x) = -3$ .
Calculate $f(-8)$ : Now that we have identified the correct case, we can find the value of $f(-8)$ . According to the function, $f(-8) = -3$ because $-8$ falls into the range where x < -3.