8. the graph displays the weekly u.s. average regular retail gasoline price since 2014. a) what is the range…

Explanation:

Step1: Find the range

The lowest point on the graph has a y - value of approximately $1.70$ and the highest point has a y - value of approximately $3.75$. So the range is $1.70\leq g(t)\leq3.75$.

Step2: Find increasing interval

By observing the graph, the function is increasing from year $2.2$ to year $2.4$. So an increasing interval is $(2.2, 2.4)$.

Step3: Find decreasing interval

The function is decreasing from year $0.4$ to year $1.1$. So a decreasing interval is $(0.4, 1.1)$.

Step4: Find fastest - decreasing interval

The slope of the graph is steeper (more negative) from year $0.4$ to year $1.1$ compared to other decreasing intervals. So the interval where the graph is decreasing at an increasing rate is $(0.4, 1.1)$.

Answer:

a) $1.70$, $3.75$ b) $(2.2, 2.4)$ c) $(0.4, 1.1)$ d) $(0.4, 1.1)$