Question

question 7 of 10
what are the end behaviors of ( f(x) = (x + 2)^6 )?

a. both ends go down.

b. both ends go up.

c. the left end goes down; the right end goes up.

d. the left end goes up; the right end goes down.

Explanation:

Step1: Identify leading term and degree

Leading term is $x^6$, degree is 6 (even).

Step2: Check leading coefficient sign

Leading coefficient is 1 (positive).

Step3: Determine end behavior

For even degree and positive leading coefficient: as $x\to\infty$, $f(x)\to\infty$; as $x\to-\infty$, $f(x)\to\infty$.

Answer:

B. Both ends go up.