High School Pre-Cal

Question

Gurnam has been asked to identify the graph of this function:

f(x)-1x⁴ -2x³-3x²+16

      ---

      4

Which end behavior should Gurnam use to identify the graph?


A.rises on the left and on the right

B.rises on the left and falls on the right 

C.falls on the left and on the right

D.falls on the left and rises on the right

Answer 1

Hi Kenneth,

 

The answer is A because

 

(1) the function has a degree of 4 because the highest power (exponent) of x is four

 

because the degree is even, the function will have the same behavior on each end

 

(2) because the coefficient of the x⁴ term is positive, the end behavior will be rising on both sides