Use the following table of the function f(x) = x4 − 4x to answer this question: what is the average rate of change from x = 0 to x = 2? select one: a. 0 b. 2 c. 4 d. 8

  c.  4

Step-by-step explanation:

The average rate of change on the interval [a, b] is given by ...

  (f(b) -f(a))/(b -a)

For your interval [0, 2], this is ...

  (f(2) -f(0))/(2 -0) = (8 - 0)/(2 -0) = 4

The average rate of change on the interval is 4.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

70

step-by-step explanation: