Question

What is the end behavior of the function f(x)= -3x^7+4x^5-14?

Answer 1

• f(-∞) → ∞
• f(∞) → -∞

Explanation:

The degree of the function is odd, so the ends tend in opposite directions. The leading coefficient is negative, so the right end (as x gets large) will tend toward -∞. Then the left end tends toward +∞.

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If the degree is even, both ends tend in the same direction. That direction matches the sign of the leading coefficient.