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write the equation of the graph below in factored form
f(x) = (x + 1)(x-2)(x-3)
f(x) = (x - 1)(x + 2)(x + 3)
f(x) = (x + 1)(x + 2)(x + 3)
f(x) = (x - 1)(x - 2)(x - 3)

write the equation of the graph below in factored form f(x) = (x + 1)(x-2)(x-3) f(x) = (x - 1)(x + 2)(x + 3) f(x) = (x + 1)(x + 2)(x + 3) f(x) = (x - 1)(x - 2)( class=

Answer :

mhanifa

Answer:

  • D) f(x) = (x - 1)(x - 2)(x - 3)

Step-by-step explanation:

Given

  • Graph of the function

To find

  • The function in factored form

According to graph we observe:

  • the function has 3 roots at x = 1, 2, 3;
  • the function is of odd degree;
  • the function is increasing, so the coefficient is positive

This gives us the function:

  • f(x) = (x - 1)(x - 2)(x - 3)

The matching answer choice is D

Find x intercepts

  • (1,0)
  • (2,0)
  • (3,0)

So

  • a=1,b=2,c=3

Now

  • y=(x-a)(x-b)(x-C)

Put values

  • y=(x-1)(x-2)(x-3)

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