Question

Please select the best answer.

Answer 1

C; The left end goes up; the right end goes down

Explanation:

If you expand the function, you end up with a polynomial with a negative coefficient and it has an odd power. According to polynomial behaviors of a function that is odd negative, the graph will rise to the left (y → ∞ and x → -∞) and falls to the right (y → -∞ and x → ∞).

Answer 2

C. The left end goes up; the right end goes down.

EXPLANATION

The given function is

`f(x) = - 2( {x - 2)}^(5)`

We analyze the end behavior of this function using the leading term.

The leading term of this function is:

`- 2 {x}^(5)`

Since the degree(5) is odd and the leading coefficient (-2) is negative, the graph rises on the left and falls on the right.

In other words, the left end of the graph goes up and the right end goes down.

The correct option is C.