QQuestionMathematics
QuestionMathematics
"Which graph represents y = StartRoot x EndRoot?
On a coordinate plane, a parabola with a vertex at (0, 0) opens up.
On a coordinate plane, a curve that begins at (0, 0) opens down and to the right in quadrant 1.
On a coordinate plane, a cubic function is vertical and goes through (0, 0).
On a coordinate plane, a cubic function is horizontal and goes through (0, 0)."
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Answer
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Step 1:: Identify the graph that represents the function y = √x.
The function y = √x is the square root function, which has a specific shape on a coordinate plane. It is a curve that starts at the origin (0, 0), opens up to the right, and becomes wider as x increases. The curve is concave up.
Step 2:: Eliminate the incorrect graphs.
- On a coordinate plane, a parabola with a vertex at (0, 0) opens up. This graph is a parabola, not the square root function. - On a coordinate plane, a curve that begins at (0, 0) opens down and to the right in quadrant 1. This graph is not the square root function because it opens down. - On a coordinate plane, a cubic function is vertical and goes through (0, 0). This graph is a cubic function, not the square root function. - On a coordinate plane, a cubic function is horizontal and goes through (0, 0). This graph is a cubic function, not the square root function.
Step 3:: Select the correct graph.
The correct graph is not listed in the options provided. The correct graph for y = √x should look like this:
Step 4:: Explain the reasoning.
The function y = √x is the square root function, which has a specific shape on a coordinate plane. It is a curve that starts at the origin (0, 0), opens up to the right, and becomes wider as x increases. The curve is concave up. None of the provided options match this description.
Final Answer
The function y = √x is the square root function, which has a specific shape on a coordinate plane. It is a curve that starts at the origin (0, 0), opens up to the right, and becomes wider as x increases. The curve is concave up. None of the provided options match this description.
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