Unit 8 (Rational Functions) Flashcard #1 Review

Front

If y varies inversely as x, what is the relationship between y and x?

Back

The relationship can be expressed as y = k/x, where k is the constant of variation.

Front

What is the constant of variation if y = 20 when x = 5?

Back

k = y * x = 20 * 5 = 100.

Front

What transformations occur when a function is shifted up by 2 units?

Back

The entire graph of the function moves up by 2 units.

Front

What does it mean for a function to be reflected over the x-axis?

Back

The y-values of the function are multiplied by -1, flipping the graph upside down.

Front

What type of equation is represented by xy = -18?

Back

This is an example of Inverse Variation.

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Back

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Back

Front

What does it mean for a function to have a vertical asymptote?

Back

A vertical asymptote occurs where the function approaches infinity or negative infinity as x approaches a certain value.

Front

How do you find the horizontal asymptote of a rational function?

Back

The horizontal asymptote can be found by comparing the degrees of the numerator and denominator.

Front

What is the general form of a rational function?

Back