Question

Determine the domain and range of the graphed function.

A) domain: (-∞, ∞) range: (-∞, 10)

B) domain: (-∞, ∞) range: (-∞, 10]

C) domain: (-∞, 10) range: (-∞, ∞)

D) domain: (-∞, 10] range: (-∞, ∞)

Answer 1

B

Explanation:

We assume the function goes infinitely both "left" and "right" so the domain is (-inf, inf).

We can also see that it has a maximum in (0, 10), so it takes all the values from -inf to 10 exactly. If it never reached 10, it'd be (-inf, 10) but it does, so it's (-inf, 10].