Calculating Distances and Function Ranges

The video tutorial covers the topic of combining functions using graphical and algebraic methods. It begins with an introduction to the concept, followed by examples of combining functions graphically, such as finding the domain and range of functions. The tutorial includes practical examples like calculating total post-secondary enrollment and stopping distance of a car. It also explains how to graph the product and division of functions, highlighting the importance of understanding domains and asymptotes.

What are the two main strategies for combining functions discussed in the lesson?

• Numerically and graphically

• Graphically and algebraically

• Algebraically and numerically

• Graphically and verbally

What is the domain of an absolute value function?

• X not equal to 0

• All real numbers

• X less than or equal to 0

• X greater than or equal to 0

What is the range of an absolute value function?

• Y greater than or equal to 0

• Y less than or equal to 0

• All real numbers

• Y not equal to 0

For a radical function, what is the domain if the graph starts at X = -2?

• X greater than or equal to -2

• X less than or equal to -2

• X not equal to -2

• All real numbers

What is the range of a radical function if the graph starts from 0?

• Y less than or equal to 0

• Y not equal to 0

• Y greater than or equal to 0

• All real numbers

In a rational function, what does a vertical asymptote indicate?

• X cannot be a certain value

• Y cannot be a certain value

• Y is less than a certain value

• X is greater than a certain value

What is the range of a rational function with a horizontal asymptote at Y = 0?

• Y less than 0

• Y cannot be 0

• Y greater than 0

• All real numbers

How do you find the total post-secondary enrollment graphically?

• Divide the points of college and university enrollments

• Multiply the points of college and university enrollments

• Subtract the points of college and university enrollments

• Add the points of college and university enrollments

What is the formula for stopping distance?

• Stopping distance = Reaction time distance + Braking distance

• Stopping distance = Reaction time distance - Braking distance

• Stopping distance = Reaction time distance * Braking distance

• Stopping distance = Reaction time distance / Braking distance

How do you calculate braking distance from stopping distance and reaction time distance?

• Subtract reaction time distance from stopping distance

• Add reaction time distance to stopping distance

• Multiply reaction time distance by stopping distance

• Divide stopping distance by reaction time distance