Question

A. Graph the piece-defined function

f(x)={x+4,x≥-2
-6, x<-2

B. What is the domain and range of the function?

Answer 1

Domian x is set of all real numbers (-∞, ∞)

range is
`(-6)` U [2,∞)

Explanation:

A. Graph the piece-defined function

f(x)={x+4,x≥-2

-6, x<-2

Domain is the set of x values,
`x\geq -2, x<-2`

Domian x is set of all real numbers

For range we check the y values

`y=x+4`

Plug in
`-2` for x

`y=-2+4=2`

`y=2`

so range is y values greater than 2

For second function, y value is only -6

So range is
`(-6)` U [2,∞)

Answer 2

A. see the attached

B. domain: all real numbers; range: [-6, -6] U [2, ∞)

Explanation:

A. The graph is shown in the attachment.

__

B. The function is defined for all values of x, so the domain is all real numbers.

The range includes all numbers 2 or greater, as well as -6.