Multiple Choice Question

Question

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. none

B.

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

D.
x is all real numbers

Answer 1

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

For a parabola, the domain is typically all real numbers unless it is restricted by some other condition. Based on the information given:

• The parabola has a vertex at (0, 4).
• It intercepts the x-axis at (-2, 0) and (2, 0).

Since there are no restrictions on the x-values in your description, we can conclude that the parabola extends infinitely to the left and right. Therefore, the domain of the function is all real numbers.

So, the correct answer is:

D. x is all real numbers.