# Is #f(x) =x^4sqrt(5-x)# a function?

This was posted under "Vertical Line Test" which requires a graph. Using graphing technology, here is the graph:

graph{y=x^4sqrt(5-x) [-27.3, 37.68, -4.73, 27.74]}

It is hard to see the graph, and scrolling out makes it look weird.

graph{y=(x^4sqrt(5-x))/100 [-18.8, 21.77, -2.49, 17.79]}

It is fairly clear that this graph passes the vertical line test.

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Yes, the function f(x) = x^4 * sqrt(5 - x) is indeed a function.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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