Answer:
The statement that is correct is:
D) There is a y-intercept at (0,-2).
Step-by-step explanation:
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)
