the graph of the function f is shown above. which of the following statements about f is correct? (a) f is…

the graph of the function f is shown above. which of the following statements about f is correct? (a) f is increasing at an increasing rate. (b) f is increasing at a decreasing rate. (c) f is decreasing at an increasing rate. (d) f is decreasing at a decreasing rate.

the graph of the function f is shown above. which of the following statements about f is correct? (a) f is increasing at an increasing rate. (b) f is increasing at a decreasing rate. (c) f is decreasing at an increasing rate. (d) f is decreasing at a decreasing rate.

Answer

Explanation:

Step1: Analyze the slope of the graph

The function (y = f(x)) is decreasing as (x) increases since the (y - )values are getting smaller as (x) moves from left - to - right.

Step2: Analyze the change in the slope

The slope of the tangent lines to the curve is getting less negative (flatter) as (x) increases. A less negative slope means the rate of decrease is decreasing.

Answer:

D. (f) is decreasing at a decreasing rate.