graph represents polynomials function is on right top
Graph is attached below
Given :
The function [tex]f(x)=x^3+4x^2-15x-18[/tex]
To identify the graph of the given function , first we find out the zeros of f(x)(
to find zeros of f(x),lets factor f(x)
The point where the graph crosses x axis are the zeros of f(x)
To find zeros , set the function f(x) and solve for x
[tex]x^3+4x^2-15x-18=0\\\left(x+1\right)\left(x-3\right)\left(x+6\right)=0\\x+1=0, x=-1\\x-3=0, x=3\\x+6=0, x=-6[/tex]
so x intercepts are -6,-1, 3
Lets find out y intercept , we replace x with 0 and find f(0)
[tex]f(x)=x^3+4x^2-15x-18\\f(0)=0^3+4(0)^2-15(0)-18=-18[/tex]
y intercept is (0,-18)
graph represents polynomials function is attached below
Right top graph
Learn more :
brainly.com/question/13519847
