Direct and Inverse Variation

Front

What is Direct Variation?

Back

Direct Variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.

Front

What is Inverse Variation?

Back

Inverse Variation is a relationship between two variables where the product of the two variables is a constant. It can be expressed as y = k/x, where k is a non-zero constant.

Front

What is a Vertical Asymptote?

Back

A vertical asymptote is a line x = a where a function approaches infinity or negative infinity as the input approaches a.

Front

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

Back

To find the vertical asymptote, set the denominator of the rational function equal to zero and solve for x.

Front

What is the equation of a direct variation?

Back

The equation of a direct variation is of the form y = kx, where k is the constant of variation.

Front

What is the equation of an inverse variation?

Back

The equation of an inverse variation is of the form y = k/x, where k is the constant of variation.

Front

If y varies directly with x, what happens to y when x is doubled?

Back

If y varies directly with x, then when x is doubled, y also doubles.

Front

If y varies inversely with x, what happens to y when x is doubled?

Back

If y varies inversely with x, then when x is doubled, y is halved.

Front

What is the constant of variation in direct variation?

Back

The constant of variation in direct variation is the ratio of y to x, represented as k = y/x.

Front

What is the constant of variation in inverse variation?

Back

The constant of variation in inverse variation is the product of x and y, represented as k = xy.