Quantities and Relationships of Functions

Which of the following is NOT TRUE about inverse functions?

• Inverse functions are reflections of each other over the line y = x.

• You find the inverse by switching x and y in the equation.

• The domain of a function always becomes the domain of its inverse.

• The domain of a function always becomes the range of its inverse.

Find the rate of change

• 1

• 2

• 11

• slopeNot a constant slope/Non-Linear

Which of the following are ways to find the rate of change?

• change in y over change in x

• rise over run

• subtract y coordinates over subtract x coordinates

• all of the above

Use the graph to calculate the rate of change.

• ^-1/₃

• -3

• 3

• ³/₂

Which statement describes the rate of change of the line?

• $20 each week

• $30 each week

• $25 each week

• $70 each week

In the following situation, state whether two variables are related in a way that might be described by a function. You run an electronic store and want to know how the quantity of TVs you sell depends on the price you charge per TV.

• The situation cannot be described by a function.

• The situation can be described by a function. There is a dependent variable, but no independent variable. The dependent variable is TVs sold.

• The situation can be described by a function. The dependent variable is the TVs sold and the independent variable is the price.

• The situation can be described by a function. The dependent variable is the price and the independent variable is the TVs.

What is the purpose of a function?

• A function describes how inputs and outputs are affected by machines.

• A function describes an operation, such as multiplication or division.

• A function describes how one variable depends on another.

• A function describes how a domain and a range interact with one another.

Which variable is plotted on the vertical axis when a graph of the function z = f (w) is created?

• z is plotted on the vertical axis because the horizontal axis is used for the dependent variable and the vertical axis is used for the independent variable.

• w is plotted on the vertical axis because the horizontal axis is used for the independent variable and the vertical axis is used for the dependent variable.

• z is plotted on the vertical axis because the horizontal axis is used for the independent variable and the vertical axis is used for the dependent variable.

• f is plotted on the vertical axis because the horizontal axis is used for the dependent variable and the vertical axis is used for the independent variable.

Consider a function that describes how a particular car's gas mileage depends on its speed. What would an appropriate domain for this function be?

• An appropriate domain would be times from 0 to 10 minutes because the time is the dependent variable of the function, and the domain consists of all reasonable values of the dependent variable.

• An appropriate domain would be 0 to 50 miles per gallon because the gas mileage is the independent variable of the function, and the domain consists of all reasonable values of the independent variable.

• An appropriate domain would be 0 to 100 miles per hour because the speed is the independent variable of the function, and the domain consists of all reasonable values of the independent variable.

What are the three basic ways to represent a function?

• The three basic ways to represent a function are a table, a graph, and an expression.

• The three basic ways to represent a function are an ordered pair, a graph, and an expression.

• The three basic ways to represent a function are a table, a graph, and an equation.

• The three basic ways to represent a function are a table, an ordered pair, and an equation.