Introduction to Functions: Assignment

Explain what the vertical line test is and how it is used.

(Move some of the words around) The vertical line test is taking a straight vertical line and moving it across another line to see if it is a function. If the vertical line hits more than one point then the line is not a function. If the line hits one point the entire time then it is a function.

Which statements are true of functions? Check all that apply.

1. All functions have a dependent variable. 2. All functions have an independent variable. 5. A horizontal line is an example of a function relationship.

Emma is an artist and has created seven paintings. She plans to paint three additional paintings each week. What statements are true of this scenario? Check all that apply.

2. The dependent variable is the total number of paintings. 3. The total number of paintings depends on the number of weeks that have passed. 4. This scenario is a function because for each week that passes, there will be exactly one total number of paintings.

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

A. 0 to 100 miles per hour.

Jillian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0.5 + 5t can be used to relate the total distance, d, in miles to the time, t, that Jillian spent jogging. What are the independent and dependent variables?

B. The independent variable is time and the dependent variable is distance.

Which graph represents a function?

Graph 4.

Which represents a function?

{(-8, -2), (-4, 1), (0, -2), (2, 3), (4, -4)}

The set of ordered pairs (-1, 8), (0, 3), (1, -2), and (2, -7) represent a function. What is the range of the function?

B. {y: y = -7, -2, 3, 8}

The mapping shows a relationship between input and output values. Which ordered pair could be removed to make this relation a function?

C. (4, -2)

Determine the domain and range of the given function.

The domain is all real numbers. The range is all numbers greater than or equal to -2.

What are the possible values of x and y for two distinct points, (5, -2) and (x, y), to represent a function?

The value of x can be any real number except for five. The value of y can be any real number.