What is the domain of the function graphed below

ANSWER

(-2,4] and [7,∞).

EXPLANATION

The domain refers to the interval on which the function is defined.

In the case of the graph, the domain refers to all the x-values for which the graph exists.

The graph is defined for x-values greater than 2 but less than or equal to 4 and

x-values greater than or equal to 7.

In interval notation, we have:

(-2,4] and [7,∞).

The second choice is correct:

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation: