Respuesta :

Answer:

C. f(x) = x4(x – a)(x – b)2

Step-by-step explanation:

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A function which could represent the above graph is: C. f(x) = x⁴(x - a)(x - b)².

How to interpret the graph?

In Mathematics, the nature of the intercept on a polynomial graph highlights the nature of its multiplicity. Also, the polynomial graph has no single zero (factor) but bounced off the x-axis at three (3) different locations.

This ultimately implies that, the polynomial graph has an even multiplicity at these three (3) points:

  • x⁴
  • x - a
  • (x - b)²

In conclusion, a function which could represent the above graph is f(x) = x⁴(x - a)(x - b)².

Read more on multiplicity here: https://brainly.com/question/3791218

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