Behavior of polynomial fct at infinities

Topic:
Calculus

Study the behavior of a polynomial fct

Consider f(x)= Keep b=1 and change the exponent a. What do you notice? Now fix a=1,2,3,... and for each case change b. What do you notice? when you finish answer the questions below.

Behavior at infinity

The curves of all polynomial function with even degrees start and end at

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Behavior at infinity

The curves of all polynomial function with odd degrees start and end at

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

what is the role of the coefficient of the leading term?