Which graph represents the polynomial function f(x)=x^3+3x^2-10x-24

[tex]f(x)=x^3+3x^2-10x-24\\\\y-intercept\ for\ x=0:\\\\f(0)=0^3+3(0)^2-10(0)-24=-24[/tex]
Answer:
The attached image shows he graph for given function.
Step-by-step explanation:
We are given the following expression in the question:
[tex]f(x) = x^3 + 3x^2-10x-24[/tex]
The zeroes of the given function can be calculated as:
[tex]x^3 + 3x^2-10x-24 = 0\\x = -4, x = -2, x=3[/tex]
Thus,the graph for the given function passes through the x-axis on the points (-4,0), (-2,0) and (3,0).
The function crosses the y-axis at the point (0,24)
The attached image shows the graph for given function.
Thus, the second option is the correct graph for given function.