math word problem

Question

What is the name of the point on a graph of a function where f (0) = 2 ? What about f (3) = 0 ?

Answer 1

f(0) = 2 is the y-intercept because it's the spot where the graph crosses the y-axis

f(3) = 0 is the x-intercept because it's the spot where the graph crosses the x-axis

Answer 2

If f(0) = 2, 2 is the y-intercept.

 

If f(3) = 0 is a x-intercept.

 

Since you are using function notation f(x), we can know there is only one y-intercept, hence The y-intercept.  There may be infinitely many x-intercepts, hence A x-intercept.