Select the correct answer. Consider functions f and g. f(x) = x^3 + 5x^2-x Which statement is true about these functions? A. Over the interval , function f and function g are decreasing at the same rate. B. Over the interval , function f is increasing at the same rate that function g is decreasing. C. Over the interval , function f is decreasing at a faster rate than function g is increasing. D. Over the interval , function f is increasing at a faster rate than function g is decreasing.

The statement that is true from the function given above is:
"Over the interval [-2, 2], function f is increasing at a faster rate than function g is decreasing." (Option D)

What is a function?

A function in mathematics is known as an expression of a relationship involving two variables:

Dependent and
Independent, using a mathematical connotation.

Why is option D a True statement?

It is clear from the number array (attached) that x > 0, f(x) ↑ while x< 0 f(x) ↓.

While for g(x) it is confirmed that 0 <x<2, gx) ↓.

[-2< x< 0, g(x) may ↓ or ↑]

Hence, x from 0 to 2, g(x) from 6 to -16, that has been modified for 22 while the f(x) changes from 0 to 26, and changed from 26, 26 > 22.2

Learn more about functions at:
https://brainly.com/question/2833285
#SPJ2