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Behavior of polynomial fct at infinities

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

选择所有适用项
  • A
  • B
  • C
  • D
检查答案 (3)

Behavior at infinity

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

选择所有适用项
  • A
  • B
  • C
  • D
检查答案 (3)

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