Use the key features of the polynomial f(x) = 5x2 − 2x − 3 to describe its end behavior.
a. the left side continues up, and the right side continues down.
b. the left side continues down, and the right side continues down.
c. the left side continues down, and the right side continues up.
d. the left side continues up, and the right side continues up.

d. The left side continues up, and the right side continues up.

Step-by-step explanation:

We have been given a polynomial . We are asked to describe the end behavior of our given polynomial.

We know that for a function of form , if n is even and , then

We know that for a function of form , if n is even and , then

We can see that for our given polynomial the value of 'n' is even and , which is greater than 0. So both sides of our given function continues up.

Therefore, option D is the correct choice.

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