Exploring Linear Equations and Word Problems

Which of the following is NOT a characteristic of a function?

• Each output is associated with one input.

• It passes the vertical line test.

• Each input has exactly one output.

• An input can have multiple outputs.

What is the domain of a graph where x values are 0, 1, 2, and 3?

• x = {0, 1, 2, 3}

• x > 0

• x = {2, 3, 4, 5}

• x < 3

How can you determine if a graph is linear?

• It forms a straight line.

• It has multiple curves.

• It has no points.

• It changes direction frequently.

Which equation represents a linear graph?

• y = |x|

• y = 2x + 3

• y = x^2 + 1

• y = x^3 - 1

What makes a graph continuous?

• The points are separate.

• It changes direction.

• The points are connected.

• It has no points.

Which of the following is an example of a discrete variable?

• Time

• Temperature

• Length

• Number of people

In the equation y = 15.95x, what does x represent?

• The cost in dollars

• The number of tickets

• The total cost

• The number of people

If a bathtub drains at a rate of 2.5 gallons per minute, what is the domain of the function representing the remaining water?

• x <= 0

• x >= 0

• x < 0

• x > 0

What type of function is represented by the equation m = 55 - 8.5b?

• Non-linear

• Linear

• Discrete

• Continuous

In a pet grooming service charging $30 plus $5 for each extra service, what is the domain of the function?

• x = {0, 1, 2, 3, 4, 5}

• x > 0

• x < 5

• x = {1, 2, 3, 4, 5}