The graph shows the square root of the parent function and function has no intercepts
What is the parent function?
A parent function is the simplest function that still satisfies the definition of a certain type of function. For example, when we think of the linear functions which make up a family of functions, the parent function would be y = x. This is the simplest linear function.
What are intercept?
Using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
According to the question
Graph shows the square root of the parent function.
i.e ,
y = [tex]\sqrt{x}[/tex]
As,
This equation will never touch the x-axis or the y-axis, so the function does not have an x- or y- intercept.
Therefore,
This function has no intercepts ,
Hence, The graph shows the square root of the parent function and function has no intercepts .
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