Answer:
The y-intercept is (0,0)
The x-intercepts are (-3,0), (0,0), and (4,0)
Step-by-step explanation:
So we have the function:

And we want to solve for the x- and y-intercepts.
Y)
To solve for the y-intercept, recall that the y-intercept is when the graph touches the y-axis. At that point, the x values is 0. Thus, to find the x-intercept, substitute 0 for x:

Simplify:

So, the y-intercept is (0,0)
X)
To solve for the x-intercept(s), set the function equal to 0 and solve for x:

First, factor out a negative x:

Factor within the parentheses:

Zero Product Property:

Divide by -1 on the first one. Add 4 on the second one. And subtract 3 on the right:

So, our x-intercepts are:

And we're done :)