Domain and Range Linear Graphs Tables and Ordered Pairs

The tables of ordered pairs represent some points on the graphs of lines f and g.

Which system of equations represents lines f and g?

• y = 1.75x + 3.5

  y = -4x - 8

• y = 1.75x + 3.5

  y = -4x - 2

• y = 3.5x + 1.75

  y = -4x - 8

• y = 3.5x + 1.75

  y = -4x - 2

The table represents some points on the graph of a linear function.

Which function represents the same relationship?

• h(x) = -3x - 10.5

• h(x) = -x - 3.5

• h(x) = 3x - 10.5

• h(x) = x - 3.5

The graph shows the linear relationship between the maximum area in square feet that can be painted and the number of gallons of paint used.

Which of these best represents the rate of change of the maximum area painted with respect to the number of gallons of paint used?

• 200 sq ft/gal

• 400 sq ft/gal

Which graph represents a function with a domain of all real numbers greater than or equal to -7 and less than 2?

• 
• 
• 
• 

What is the domain and range of the function below?

• The range of the function is all real numbers greater than or equal to 2 and less than or equal to 7.

• The range of the function is all real numbers greater than or equal to -9 and less than 6.

• The domain of the function is all real numbers greater than or equal to -9 and less than 6.

• The domain of the function is all real numbers greater than or equal to 2 and less than 7.

The graph shows a linear relationship between y, the cost of renting video games, and x, the number of games.

What is the domain and range of the function?

• Domain:

  {20, 30, 40, 50, 60}

• Domain:

  {0, 5, 10, 15, 20}

• Range:

  {0, 5, 10, 15, 20}

• Range:

  {0, 20, 30, 40, 50, 60}

• Range:

  {20, 30, 40, 50, 60}

Determine if each relation is a function. Tell why or why not for each one.

• Map A is a Function, because each x-value corresponds to exactly one y-value.

• Map A is Not a Function, because each x-value does not correspond to exactly one y-value.

• Map B is a Function, because each x-value corresponds to exactly one y-value.

• Map B is Not a Function, because each x-value does not correspond to exactly one y-value.

The hourly cost of renting a car, y, for x number of days can be modeled using a linear function. The car rental charges a fixed cost of $50 plus and additional cost of $25 per day. The car can be rented for a maximum number of 10 days. For a two day rental what is the domain and range for this situation?

• Domain: 0,1,2,3,4,5,6,7,8,9,10

• Range: 50,75,100,125,150,175, 200,225,250,275,300

A linear function g is graphed on the grid.

Create an inequality that describes the domain and range of function g.  

What is the domain and range of the function?

• The range of the function is all real numbers greater than 2.

• The range of the function is all real numbers greater than -6.

• The domain of the function is all real numbers greater than or equal to 2.

• The domain of the function is all real numbers less than 2.

• The domain of the function is all real numbers less than -6.