Question

PLEASE HELPPPPP

Blank 1 answers choices: 1). Graph A 2.) Graph B
Blank 2 answer choices: 1). appears to increase more 2). is less 3). increases more 4).appears to increase less 5). increases less

Answer 1

Answer:

As part of exploring how functions change, we can identify intervals over which the function is changing in specific ways. We say that a function is increasing on an interval if the function values increase as the input values increase within that interval. Similarly, a function is decreasing on an interval if the function values decrease as the input values increase over that interval. The average rate of change of an increasing function is positive, and the average rate of change of a decreasing function is negative. Figure 3 shows examples of increasing and decreasing intervals on a function.

Graph of a polynomial that shows the increasing and decreasing intervals and local maximum and minimum.

Figure 3. The function \displaystyle f\left(x\right)={x}^{3}-12xf(x)=x

3

−12x is increasing on \displaystyle \left(-\infty \text{,}-\text{2}\right){{\cup }^{\text{ }}}^{\text{ }}\left(2,\infty \right)(−∞,−2)∪

(2,∞) and is decreasing on \displaystyle \left(-2\text{,}2\right)(−2,2).