Calculate the average rate of change of a function between two points using the equation of the function Precalculus

Let f be the function defined by f\left(x\right)=3x^3-2x+4.

Determine the average rate of change of f between -1 and 2.

Let f be the function defined by f\left(x\right)=-2x^2 + 3x + 5.

Determine the average rate of change of f between -2 and 3.

−1

−3

Let f be the function defined by f\left(x\right)=\left(x - 7\right)^2 + 4.

Determine the average rate of change of f between 5 and 9.

−2

Let f be the function defined by f\left(x\right)=-2x^3 + 4x^2 - 3x.

Determine the average rate of change of f between -2 and 2.

−8

-11

Let f be the function defined by f\left(x\right)=\dfrac{2}{3}\left(1 - x\right)^3.

Determine the average rate of change of f between 2 and 3.

-\dfrac{14}{3}

-\dfrac{3}{14}

−6

Let f be the function defined by f\left(x\right)=\dfrac{\left(1 - x\right)^3}{4\left(x - 2\right)^2}.

Determine the average rate of change of f between -1 and 3.

-\dfrac{5}{9}

-\dfrac{1}{9}

-\dfrac{80}{9}

\dfrac{4}{9}

Let f be the function defined by f\left(x\right)=2^x - x^2.

Determine the average rate of change of f between 0 and 3.

\dfrac{1}{3}

-\dfrac{8}{3}

-\dfrac{1}{3}

-\dfrac{2}{3}