What is the domain of the function in the graph?

A parabola has vertex at (0, 4), intercept x-axis at (-2, 0), and (2, 0).

A. -2 ≤ x ≤ 2

B. 0 ≤ x ≤ 2

C.
x is all real numbers less than or equal to 4

D.
x is all real numbers

1 answer

The domain of a function refers to all the possible input values (x-values) for which the function is defined.

In this case, the parabola has its vertex at (0, 4) and intercepts the x-axis at (-2, 0) and (2, 0). Since the parabola opens downward (as it has a maximum vertex), it will take values for x from -2 to 2 where it intersects the x-axis.

Thus, the domain of the function, based on the x-intercepts, is:

A. -2 ≤ x ≤ 2

This means the domain includes all x-values from -2 to 2, inclusive.