Question

Precalculus: Check my answers please.

1. Write the domain of the function given in the graph in set builder notation.
(The curved graph belongs to this.)
A) {x|x >= 10}
B) {x|x >= 0}
C) {x|x > 10} Is the answer C?
D) {x|x > 0}

2. Write the range of the function given in the graph in interval notation.
(The two line segments belongs to this.)
A) [-4,8]
B) (-4,3)U(3,8]
C) (-4,8]
D) [-4,3)U(3,8) I know it is either B or D, but I am not sure if it is B, or D.

Answer 1

Part a) Write the domain of the function given in the graph in set builder notation

we know that

the domain for the function given in the graph are the values of x

$x\geq 10$ ---------> interval [10.∞)

therefore

the answer part a) is the option

A) {x|x >= 10}

Part b) Write the range of the function given in the graph in interval notation.

the range of the function are

the first segment has a range (-4,3]

the second segment has a range (3,8]

The function has a range

(-4,3] U (3,8]= (-4,8]

the answer is the option

C) (-4,8]