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Maru [420]
3 years ago
9

Which is the graph of the function f(x) = x3 – x2 – 17x - 15?

Mathematics
1 answer:
LenKa [72]3 years ago
7 0

Answer with Step-by-step explanation:

We are given that a function

f(x)=x^3-x^2-17x-15

We have to find the graph of the given function.

y-intercept:It is that  value of y where the graph cut the y- axis.

Let

y=f(x)=x^3-x^2-17x-15

Substitute x=0

Then, we get

f(0)=-15

y-intercept of the graph=-15

x- intercept: It is that value of x where the graph cut the x- axis.

Substitute y=0

x^3-x^2-17x-15=0

Substitute x=-1

-1-1+17-15=0

Therefore,x=-1  is a solution of given equation.

(x+1)(x^2-2x-15)=0

(x+1)(x^2-5x+3x-15)=0

(x+1)(x(x-5)+3(x-5))=0

(x+1)(x+3)(x-5)=0

\implies x=-1,-3,5

Hence, the x-intercept are

-3,-1 and 5

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Hello,

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