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Hi, can you help me to solve this exercise please, it’s about Function Evaluation & Applications!

Hi, can you help me to solve this exercise please, it’s about Function Evaluation-example-1
User Nostop
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1 Answer

3 votes

Given


f(x)=\lvert x\rvert+4

Part A


\begin{gathered} we\text{ want to find f(4)} \\ we\text{ only n}eed\text{ to substitute the value of 4 to x in the given function} \\ f(4)=\lvert4\rvert+4 \\ f(4)=4+4_{} \\ f(4)=8 \end{gathered}

Part B


\begin{gathered} we\text{ want to evaluate f(-4)} \\ \text{note that the absolute value returns postive values} \\ \text{thus, }\lvert-4\rvert=4 \\ f(-4)=\lvert-4\rvert+4 \\ f(-4)=4+4 \\ f(-4)=8 \end{gathered}

Part C


\begin{gathered} To\text{ find f(t), we only n}eed\text{ to replace t with x} \\ f(t)=\lvert t\rvert+4 \end{gathered}

User Mmvie
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