Patterns and Functions

A student rode a bike from school to a recreation center. The graph shows the student's distance in miles from the recreation center after riding the bike for x minutes. What is the range of the function for this situation?

• All real numbers greater than or equal to 0 and less than or equal to 28

• All real number greater than or equal to 0 and less than or equal to 9

• All real numbers less than or equal to 28

• All real number less than or equal to 9

• F

• G

• H

• J

• It is a function because no vertical lines hit it twice.

• It's not a function because a vertical line hits it twice.

• It's not a function because no vertical lines hit it twice.

• It is a function because a vertical line hits it twice.

Which answer choices best describe the domain and range of this situation.

• Domain: All real numbers greater than or equal to 0 and less than 100.

  Range: All real numbers greater than or equal to 0 and less than 50.

• Domain: -2

  Range: 100

• Domain: All real numbers greater than or equal to 0 and less than 50.

  Range: All real numbers greater than or equal to 0 and less than 100.

• Domain: 100

  Range: -2

Which kind of function has the same Second Differences

• Linear

• Quadratic

• Exponential

• Absolute Value

What type of pattern do linear functions have?

• Adds or subtracts by the same number every time.

• Multiplies or divides by the same number every time.

• Square roots the input number every time.

Which kind of function has the same First Differences (constant rate of change)

• Linear

• Quadratic

• Exponential

• None

Which kind of function has the same First Differences

• Linear

• Quadratic

• Exponential

• Absolute Value

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a liner function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day.

For one day of work, what is the range of the function for this situation?

The graph of part of linear function g is shown on the grid.