Question

Find the domain and range of the following function ƒ(x) = 3|x + 7| - 2?

A.Domain: [-2,∞) Range: (-∞,∞)
B.Domain: (-2,∞) Range: (-8∞,∞)
C.Domain: (-∞,∞) Range: [-2,∞)
D.Domain: (-∞,∞) Range: (-2,∞)

Answer 1

A) domain: (-∞, ∞) range: (-∞, ∞)

Explanation:

Answer 2

D.Domain: (-∞,∞) Range: (-2,∞)

is the right answer.

Explanation:

Given is a function as

`f(x) = 3|x+7|-2`

This is an absolute value function hence the minimum value of

|x+2|=0

Hence the range cannot be below -2

For maximum no limit

`Range = [-2,\infty)`

Domain can be any real value

Hence option d is correct answer.