Question

Look at each equation. Does the graph of the equation have an end behavior that approaches infinity (∞) as x → −∞? Select Yes or No for A-C.

Answer 1

A). Yes

B). Yes

C). No

Explanation:

Option (A). y = -2x - 5

As x → -∞, left end of the line decreases.

As x → ∞, right end of the graph rises.

YES.

Option (B). y = 5(x + 2)³ - 3

As x → -∞ and x → ∞,

Both the ends (left and right) rise upwards.

YES.

Option (C). y = -3ˣ

Since, the given equation is not a polynomial, end behaviors are not defined.

NO.