Question

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

Answer 1

Answer:b on edg 2020

Explanation:

Answer 2

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