Question

Describe the end behavior for the function f(x) = -x³ + 5

O down to the left, up to the right
O down to the left, down to the right
O up to the left, down to the right
O up to the left, up to the right

Answer 1

O up to the left, down to the right

Explanation:

See attached graph. As x becomes negative, x^3 will always be negative. But the minus sign in -x^3 mean it will go in the positive direction as x gets smaller (below 0). The same logic tells us that when x is positive, the -x^3 term will always be negative, As x increases, the term -x^3 rapidly decreases.