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katen-ka-za [31]
3 years ago
7

Which statement best describes the graph of this polynomial function f(x)=x^4+x^3-2x^2

Mathematics
1 answer:
jenyasd209 [6]3 years ago
3 0

Answer:

See below description.

Step-by-step explanation:

The function f(x) = x^4+x^3-2x^2 has the following characteristics:

  • Factors: x^2(x+2)(x-1)
  • Zeros/roots: x=0, x=-2, amd x=1
  • Positive leading coefficient
  • Graph starts up, curves down through -2 on the x-axis and back up to 0 where it touches and curves down and back up again again. It comes down back through 1 and crosses.
  • Its graph s the shape of a W.
  • It has minimum values at -2.83 and -0.397
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