Classify each of the power functions based on their end behavior (increasing or decreasing) as x = ∞

right side behavior:

              f(x) is Decreasing

             g(x) is Increasing

             h(x) is Increasing

             j(x) is Decreasing

Step-by-step explanation:

The rules for end behavior are based on 2 criteria: Sign of leading coefficient and Degree of polynomial

Sign of leading coefficient (term with greatest exponent):

Degree of polynomial (greatest exponent of polynomial:

f(x) = -2x²

as x → +∞, f(x) → +∞  Decreasing

as x → -∞, f(x) → -∞   Decreasing

g(x) = (x + 2)³

as x → +∞, f(x) → +∞  Increasing

as x → -∞, f(x) → -∞   Decreasing

as x → +∞, f(x) → +∞  Increasing

as x → -∞, f(x) → -1    Decreasing to -1

as x → +∞, f(x) → +∞  Decreasing

as x → -∞, f(x) → -∞   Increasing

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )