Question

Given h(x)=-2-X-3, which of the following statements describes h(x)?The function h(x) is increasing on the interval (-0,3).The function h(x) is increasing on the interval (-3, ..).The function h(x) is decreasing on the interval (-0,3).The function h(x) is decreasing on the interval (3, 0). Need help

Answer 1

In this problem, we are trying to determine an interval if increase or decrease for the function.

Since we are working with a square root function, we know it is either always increasing or always decreasing. Here's the parent function for reference:

In our function, we see it is being mutiplied by a factor of -2, and it is being horizontally shifted units to the right.

Here's our new function:

Based on the graph, we see that the function is decreasing on the interval (3, ∞).