Question

Which statement best describes the end behavior of the following function?

Answer 1

Answer:

B. The graph of the function starts high and ends high.

Step-by-step explanation:

Firstly, we need to determine the degree of the function F(x) = 2x⁴– x³ +5x-9

To find the degree of the function, we add the exponent of each variable, and the variable with the highest exponent is the degree of the exponent.

2x⁴  has degree of 4

– x³ has degree of 3

+5x has degree of 1

-9  has degree of 0

Therefore the degree of the function is 4. Since it is even, the graph would start and end in the same direction.

The coefficient of the highest degree is 2 (2x⁴) which is positive  therefore The graph of the function starts high and ends high