Question

The absolute value function, f(x) = |x + 2|, is shown.

What is the domain of the function?

all real numbers
all real numbers greater than or equal to 0
all real numbers greater than or equal to –2
all real numbers less than or equal to –2

Answer 1

all real numbers

Step-by-step explanation

The given absolute value function is

`f(x) = |x + 2|`

This function is obtained by shifting the graph of

`y = |x|`

to the left by 2 units.

Since the domain of the parent function is all real numbers, the domain of the transformed function is also all real numbers because the shifting the parent function horizontally or vertically does not affect the domain.