Answer quick
what are all of the x-intercepts of the continuous function in the table?
a (0, 8)
b (–4, 0)
c (–4, 0), (4, 0)
d (–4, 0), (0, 8), (4, 0)
table
x f(x)
-4 0
-2 2
0 8
2 2
4 0
6 -2

c)  (-4,0), (4,0)

Step-by-step explanation:

In order to find all of the x-intercepts of the function using the table, you have to know the condition to calculate intercepts with the x-axis.

The condition is that there is an intercept with the x-asis when f(x) = 0

So, you have to find the points where f(x)=0 in the table

There are only two values of f(x) = 0 in the table, so there are two x-intercepts

The point x= -4 and f(x) = 0 and the point x=4 and f(x) = 0

You can write them as ordered pairs of the form ( x,f(x) ) :

(-4, 0) and (4,0)