Question

What is the domain of the function graphed below?

O X<7
O x<_7
O-2 O all real number

Answer 1

x < 7

Explanation:

The domain of the function is less than 7 as indicated by the open dot. (a closed dot indicates ≥ or ≤)

At x = -1, it is part of the domain because there is at least one closed dot indicating it is part of the domain.

The domain of the function is :

• x < 7

Answer 2

Answer: Choice A) x < 7

Reason:

The domain is the set of allowed x inputs.

The graph shows an open hole at x = 7, meaning that 7 itself isn't part of the domain. But any value smaller than this will be part of the domain. So that's why we go for x < 7.

The value x = -1 is allowed since we have a closed endpoint for one of the pieces here.

The arrow pointing to the left indicates that piece goes on forever in that direction.