Question

Describe the end behavior of the graph of the function.

hx()=−3x4+4x3+10x2−8x+7
a.hx()→−∞as x→−∞and hx()→−∞as x→∞
b.hx()→−∞as x→−∞and hx()→∞as x→∞
c.hx()→∞as x→−∞and hx()→−∞as x→∞
d.hx()→∞as x→−∞and hx()→∞as x→∞

Answer 1

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Answer:

a.hx()→−∞as x→−∞and hx()→−∞as x→∞

Explanation:

The negative leading coefficient tells you the function tends toward -∞ as x gets large. The even degree tells you it goes the same direction as x tends toward -∞.

h(x) → -∞ for x large or small . . . . matches A