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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...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. -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
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
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Answered by
GPT-4o mini
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.
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.
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