Given the function

Question

Given the function f(x)= -5.6^6 + 9x- 0.6x^8+3
a. State the degree
b. name the leading coefficient
c. Describe the behavior of both ends of the graph
d. is the function odd, even or neither?
e. describe the symmetry of the graph

Answer 1

degree is the exponent of the highest degree term: 8

coefficient of the leading term is the coefficient of the highest degree term: -0.6

behavior at both ends is what happens to the highest degree term, it approaches negative infinity, at both ends, as x approaches infinity or as x approaches negative infinity

neither. It's even if f(-x) = f(x). Then it's symmetric about the y axis. It's odd if f(-x) =-f(x). then it's symmetric about the origin.

It's neither and there is no symmetry