Given the piecewise function shown below, select all of the statements that are true.

A piece wise function is used to illustrate functions of different input domain

The true statements are:

First, we test the options

To calculate f(1), we make use of

Because, the domain is

So, we have:

Substitute 1 for x

Option (a) is true

To calculate f(5), we make use of

Because, the domain is

So, we have:

Substitute 5 for x

Option (b) is false

To calculate f(-2), we make use of

Because, the domain is

So, we have:

Substitute -2 for x

Option (c) is false

To calculate f(2), we make use of

Because, the domain is

So, we have:

Substitute 2 for x

Option (d) is true

Hence, the true statements are:

Read more about piece wise functions at:

link

jbankston is right, use thhe link and you should find the answer.