Question

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.

What are all of the x-intercepts of the continuous function in the table?

(0, 8)
(–4, 0)
(–4, 0), (4, 0)
(–4, 0), (0, 8), (4, 0)

Answer 1

it is c (-4,0), (4,0)

Explanation:

Answer 2

Option C.

Explanation:

The given table is

x f(x)

-4 0

-2 2

0 8

2 2

4 0

6 -2

A graph of a function intersect x-axis if the function contains the points whose y-coordinate is 0.

From the given table it is clear that the value of f(x) is 0 at x=-4 and x=4. It means, the continuous function intersect the x-axis at two point (-4,0) and (4,0).

Therefore, the correct option is C.