# How do you use end behavior, zeros, y intercepts to sketch the graph of #f(x)=(x-4)(x-1)(x+3)#?

##### 1 Answer

end behavior:

x-intercepts:

y-intercept:

#### Explanation:

If you were to multiply the three factors using the distributive property, you would find that this function is a third degree polynomial because the term with the dependent variable raised to highest power would be the term

Since the term with the dependent variable raised to the highest power has a positive coefficient

end behavior:

To find the zeros, or x-intercepts, of the function, set

x-intercepts:

To find the y-intercept of the function, set

y-intercept: