Question

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

Answer 1

`f(x)=x^3+3x^2-10x-24\\\\y-intercept\ for\ x=0:\\\\f(0)=0^3+3(0)^2-10(0)-24=-24`

Answer 2

The attached image shows he graph for given function.

Explanation:

We are given the following expression in the question:

`f(x) = x^3 + 3x^2-10x-24`

The zeroes of the given function can be calculated as:

`x^3 + 3x^2-10x-24 = 0\\x = -4, x = -2, x=3`

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.