Linear Functions

Which inequality best represents the range of the graph shown?

• -7 < y < 5

• -7 ≤ y < 5

• -3 < y < 1

• -3 ≤ y < 1

Which inequality best represents the domain of the graph shown?

• -3 < x ≤ 5

• x = -1

• 5 < x ≤ -3

• -2 < x ≤ 6

The daily cost of hiring a technician from a carpet cleaner company, y, to work x hours on home flooring can be modeled using a linear function. The cleaning service charges a fixed cost of $60 plus an additional cost of $100 per hour. The carpet cleaner technician works a maximum of 6 hours per day. 

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

•  $0\le x\le6$  

•  $60\le y\le660$  

•  $0\le x\le60$  
  

•  $100\le y\le460$  

What are the domain and range of g(x) = -16?

• Domain: All real numbers greater than or equal to -16

  Range: All real numbers

• Domain: {-16}

  Range: All real numbers

• Domain: All real numbers

  Range: {-16}

• Domain: All real numbers

  Range: All real numbers greater than or equal to -16

Write the equation of the line in slope-intercept form passing through the points (-3,4) and (-4,2).

• y = -2x + 10

• y = -2x - 10

• y = 2x - 10

• y = 2x + 10

Write the equation of the line in slope-intercept form that passes through the point (3,-1) and has a slope of 2.

• y = 3x - 1

• y = 2x - 5

• y = 2x - 7

• y = -x + 3

The table represents some points on the graph of a linear function. Which equation represents the same relationship?

• y = 2x - 3

• y = 3x + 6

• y = 2x + 6

• y = 1/2x + 6

Zara made an initial deposit to a bank account and then added a fixed amount every week. The table shows the money in her account. Based on the table, which function models this situation?

• y = 30x + 100

• y = 20x + 120

• y = 120x + 120

• y = 50x + 100

What is the equation in point-slope form of the line that passes through the given point (4, -7) and a slope of -1/4?

• y +7 = -1/4(x - 4)

• y - 4 = -1/4(x + 7)

• y+ 7 = 4(x - 4)

• y - 7 = -1/4(x - 4)

A graph of a linear function is shown on the grid. Which equation is best represented by this graph?

• y - 20 = ½(x - 4)

• y - 20 = 5(x - 4)

• y + 20= 5(x + 4)

• y - 20 = 1(x - 4)