Question

Consider the following graph of a piecewise-defined function.

Choose the correct expression to represent the piecewise-defined function.

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Answer 1

Explanation:

When x<-2, f(x)=5

When -2<x<3, f(x)=2x+2

When x>3, f(x)=-3

Answer 2

Explanation:

Given is a graph of piecewise function.

We are given a horizontal line for

`x<-2`

Hence
`f(x) = 5, x<-2` ... I

Whenever

`-2\leq x<3`, the graph is a line passing through (-2,-2) and (3,8)

Hence using two point equation we get

`(y+2)/(8+2) =(x+2)/(3+2)\\5(y+2)=10(x+2)\\y=2x+2`...II

Again for

`x>3\\y=-3`... III

I,II and III together give the piecewise funciton