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.
B.
C.
x is all real numbers less than or equal to 4
D.
x is all real numbers
A parabola has vertex at (0, 4), intercept x-axis at (-2, 0), and (2, 0).
A.
B.
C.
x is all real numbers less than or equal to 4
D.
x is all real numbers
Answers
GPT-4o mini
To determine the domain of the function represented by the parabola described, we need to identify the values of \( x \) for which the function is defined.
A parabola typically extends infinitely in the x-direction unless there's a restriction. The vertex of the parabola is at (0, 4), and it opens downwards because it has x-intercepts at (-2, 0) and (2, 0). This indicates that the parabola does not have any restrictions limiting the x-values.
Thus, the domain of the function is:
**D. x is all real numbers**.
This means that the parabola can take any x-value and still produce a corresponding y-value.
A parabola typically extends infinitely in the x-direction unless there's a restriction. The vertex of the parabola is at (0, 4), and it opens downwards because it has x-intercepts at (-2, 0) and (2, 0). This indicates that the parabola does not have any restrictions limiting the x-values.
Thus, the domain of the function is:
**D. x is all real numbers**.
This means that the parabola can take any x-value and still produce a corresponding y-value.