Modeling Rational Functions by Graphing

The video tutorial explains how to model rational functions by graphing. It begins with an introduction to rational functions, using tables and equations. A practical example of sharing parking costs is used to illustrate the concept, showing how the cost per person decreases as the number of people increases. The tutorial then covers graphing rational functions, highlighting that the graph never touches the axes and can include negative numbers. Finally, a real-world problem involving a concrete mixer is modeled using rational functions, demonstrating how to determine the depth of concrete based on the area covered.

What is the constant in the equation X * y = K?

• The sum of X and y

• The product of X and y

• The difference between X and y

• The quotient of X and y

In the parking cost example, what happens to the cost per person as the number of people in the van increases?

• It decreases

• It increases

• It doubles

• It remains the same

Why can't the graph of a rational function touch the X or Y axis?

• Because the function is quadratic

• Because the function is exponential

• Because the function is linear

• Because the function is undefined at those points

What is a 'branch' in the context of graphing rational functions?

• A part of the graph that touches the axes

• A section of the graph that extends infinitely

• A linear segment of the graph

• A point where the graph intersects itself

In the concrete mixer example, when will the depth be less than four feet?

• When the area is equal to the depth

• When the area is less than 15 feet

• When the area is exactly 15 feet

• When the area is greater than 15 feet