Question

question 8
what is true about the function from point a to point b?

a. the function is increasing slower
and slower.

b. the function is increasing faster
and faster.

c. the function is increasing slower
and slower, then increasing faster
and faster.

d. the function is increasing faster
and faster, then increasing slower
and slower.

Explanation:

Step1: Analyze the graph's slope change

The graph of the function from point A to point B first has a slope that increases (function increasing faster and faster) and then the slope starts to decrease (function increasing slower and slower). This is typical of a function like a logistic curve or a curve that has an inflection point. Initially, the rate of increase (slope) is getting steeper (faster and faster increase), and after a certain point, the slope starts to get less steep (slower and slower increase) as it approaches a horizontal asymptote.

Step2: Evaluate the options

• Option A: Says increasing slower and slower, which doesn't match the initial part of the graph.
• Option B: Says increasing faster and faster, but the graph later slows down, so this is incomplete.
• Option C: Describes the opposite of what happens.
• Option D: Correctly states that the function increases faster and faster (when slope is increasing) and then increases slower and slower (when slope is decreasing) as seen in the graph.

Answer:

D. The function is increasing faster and faster, then increasing slower and slower.