UGA Math Placement Practice Exam 2025 – All-in-One Guide to Conquer Your Placement Test!

Question: 1 / 400

When 'h' increases in a rational function, what happens to the function?

Moves function upward

Moves function left/right

In the context of rational functions, when 'h' increases, it typically refers to a horizontal shift in the graph of the function. This means the entire graph of the rational function will move to the right along the x-axis.

For example, if you have a function like f(x) = 1/(x - h), when you increase 'h', the term (x - h) means that the function will be evaluated at larger values of x to yield the same output. As such, the input at which the function reaches its vertical asymptote also shifts rightward, indicating a shift of the whole function.

This deliberate manipulation of 'h' changes the horizontal position of the graph, emphasizing the direct relationship between 'h' and the left-right positioning of the rational function on the coordinate plane. Hence, increasing 'h' corresponds accurately with the movement of the function rightward.

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No effect

Moves function inward

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