Question

Instructions: For the given piecewise function, evaluate for

the specified value of x.
S3, x < -4
g(x) =
2x + 4, 2 > -4
Evaluate when = – 2
g(-2) =

Answer 1

The piecewise functions are given below as

`g(x)=\begin{cases}3,x<-4 \\ 2x+4,x\ge-4\end{cases}`

We were asked to evaluate when x = -2 that is, to find the value of

`g(-2)`

Considering the condition for

`\begin{gathered} g(x)=3,x<-4 \\ \text{wont be used here because the value of x to be used is} \\ x=-2 \\ \text{and} \\ -2>-4 \end{gathered}`

Considering the second function,

`\begin{gathered} g(x)=2x+4,x\ge-4 \\ It\text{ is the required function because the value of x=-2 suits the parameters} \\ \text{That's where the value of x lies} \end{gathered}`

Hence,

To calculate the value of

`g(-2)`

we will substitute the value of

`x=-2`

in the function below which is

`g(x)=2x+4`

By substitution, we will have

`\begin{gathered} g(x)=2x+4 \\ g(-2)=2(-2)+4 \\ g(-2)=-4+4 \\ g(-2)=0 \end{gathered}`

Therefore,

The final answer is

g(-2) = 0