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

Question

asked Sep 5, 2021 107k views

2 Answers

Garbagecollector · Answer 1 · 2021-09-09T08:22:47+0000

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