Question

Given the function h(x)=3x, which statement is true about h(x)?

O The function is decreasing on the interval (-∞, 0).
O The function is increasing on the interval (-∞, 0).
O The function is decreasing on the interval (0, ∞).
O The function is increasing on the interval (0, ∞).

Answer 1

Two statement are true.

O The function is increasing on the interval (-∞, 0).

O The function is increasing on the interval (0, ∞).

Explanation:

The function h(x) = 3x is a linear function (straight line) with a slope of 3, and a y-intercept of 0. The constant, positive slope means that h(x) will increase over the interval (-∞, ∞).

See the attached graph.