Select all of the statements that can be determined from the given table.

The statement that is correct is:

        D)  There is a y-intercept at (0,-2).

We are given a table of values for x and f(x) as:

     x      f(x)

    -4      10

    -3       4

    -2       0

    -1        -2

     0       -2

     1         0

     2        4

     3        10

A)

Clearly we see that:

The value of f(x) is increasing from the x=0 to x=3.

Hence, option: A is incorrect.

B)

The x-intercepts are the point where the value of function is zero.

Hence, here we have x-intercept as (-2,0) and (1,0)

Hence, option: B is false.

C)

Also, the line of symmetry or axis of symmetry of this function is:

                   x= -0.5

Since there is a symmetry from this point.

Hence, option: C is incorrect.

D)

The y-intercept of a function is the point where the value of x is zero.

              Hence, y-intercept is: (0,-2)

step-by-step explanation:

infinity is the answer