Functions, Relations, Dependent Variables, Independent Variables

The vertical line test helps determine if a relation is a function. Which of the following graphs represents a function?

• A straight line passing through all points.

• A circle.

• A parabola.

• A graph with vertical lines.

Which of the following real-life scenarios best represents a function?

• Assigning a student to a unique student ID number.

• Matching a person to their favorite foods.

• Mapping cities to their populations over time.

• Pairing students to multiple courses they are taking.

What is the independent variable in an experiment?

• The variable you change.

• The variable that remains constant.

• The variable that depends on other factors.

• The variable you measure.

A teacher conducts an experiment where students study for different amounts of time and then take a math test. She records their scores. What conclusion can she make about the independent and dependent variables?

• The independent variable is the test scores, and the dependent variable is the study time.

• The independent variable is the study time, and the dependent variable is the test scores.

• Both study time and test scores are independent variables.

• The study time has no impact on the test scores, so there are no dependent or independent variables.

In a survey examining how age affects spending habits, what should the researcher consider as the independent and dependent variables?

• Independent variable: spending habits; Dependent variable: age.

• Independent variable: type of purchases; Dependent variable: age.

• Independent variable: age; Dependent variable: spending habits.

• Independent variable: number of participants; Dependent variable: spending habits.

Hunter got his first job working at Publix making $12 per hour. Hunter's schedule allows him to work 10-15 hrs per week. The function P(h) = 12h represent the total amount of money Hunter makes working h hours. What is the independent and dependent variables in this function.

• Independent - Hours worked

  Dependent - Total money made

• Independent - Total money made

  Dependent - Hours worked

• Independent - $12 per hour

  Dependent - Total money made

• Independent - Hours worked

  Dependent - Total hours worked in a week

The set or ordered pairs below is a function.
Which could be the fifth ordered pair in the function?

• (8,3)

• (5,7)

• (2,1)

• (9,6)

Which of the following table of values represent a function?

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Select the relations that represent a function. Select all that apply.

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What is the domain of the graph?