Inverse Variation and Graphing Concepts

The video tutorial explains inverse variation, contrasting it with direct variation. It describes the inverse variation equation, y = k/x, and demonstrates how to solve for the constant k using given values. The tutorial includes an example problem and shows how to graph the equation, highlighting the behavior of the graph and the concept of asymptotes. The video concludes with a visual representation of inverse variation as a hyperbola.

What is the opposite of direct variation?

• Quadratic variation

• Exponential variation

• Inverse variation

• Linear variation

In inverse variation, as the value of X increases, what happens to the value of Y?

• Y becomes zero

• Y increases

• Y remains constant

• Y decreases

What is the equation form of inverse variation?

• y = k + x

• y = x/k

• y = k/x

• y = kx

If y varies inversely as x, and y = 2 when x = 6, what is the constant k?

• 6

• 12

• 8

• 3

What is the inverse variation equation when k = 12?

• y = 12x

• y = 12/x

• y = x/12

• y = 12 + x

Which of the following is a method to graph an inverse variation equation?

• Using a histogram

• Using a quadratic formula

• Using a linear equation

• Using a table of values

What is the value of y when x = -6 in the equation y = 12/x?

• 2

• -2

• 12

• -12

What is the value of y when x = -4 in the equation y = 12/x?

• -3

• 3

• -4

• 4

What is the value of y when x = 3 in the equation y = 12/x?

• 3

• -4

• -3

• 4

What is the value of y when x = 2 in the equation y = 12/x?

• 12

• -6

• 6

• -12