Question

Select the correct answer.

Which statement accurately describes the function over the interval (-1,0)?

The function is constant over theinterval (-1,0).
The function is increasing over the interval (-1,0).
There is not enough information.
The function is decreasing over the interval (-1,0).

Answer 1

(d) The function is decreasing over the interval (-1,0).

Explanation:

You want a description of a table of values in which each x value is one more than the one before, and each f(x)-value is less than the one before.

Increasing or decreasing

A function is increasing if y-values become greater as x-values increase.

It is decreasing if y-values become smaller as x-values increase.

Application

On the interval [-1, 0], the value of f(x) changes from -3 for x = -1 to the lower value -4 for x = 0. The function is decreasing on the interval [-1, 0].