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Let a, b, and c be real numbers where a =/b =/c =/ 0. Which of the following functions could represent the graph below?

Let a b and c be real numbers where a b c 0 Which of the following functions could represent the graph below class=

Respuesta :

Answer:

Its A

Step-by-step explanation:

The nature of the intercept of polynomial graphs indicate the nature of the multiplicity

The option that gives the function that can represent the graph is the option;

f(x) = x²·(x - a)²·(x - b)⁴·(x - c)

Reason:

The description of the given graph are;

The graph bounces off the x-axis at three locations

Therefore;

  • The graph has an even multiplicity at three points, such as, x², (x - a)², and  (x - b)⁴ which is satisfied by the first equation

The graph crosses the x-axis almost linearly, once

Therefore;

  • The function has a single zero or factor such as (x - c) in the first equation

Therefore;

The function that could represent the graph is the function;

  • f(x) = x²·(x - a)²·(x - b)⁴·(x - c)

Learn more about polynomial function graphs here:

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