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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

Marqueu on calgui
  • A
  • B
  • C
  • D
Comprova la meva reposta (3)

Behavior at infinity

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

Marqueu on calgui
  • A
  • B
  • C
  • D
Comprova la meva reposta (3)

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