Representations of a Linear Function

A(n) _________________ function will ADD the same number each time.

• Linear

• Quadratic

• Exponential

• All of the above

Which of the following representations does not represent the same sequence?

• 1

• 2

• 3

• 4

Which of the following statements is true about the functions f(x) and g(x)?

• The y-intercept of the function f(x) is less than the y-intercept of the function g(x).

• The y-intercept of the function f(x) is greater than the y-intercept of the function g(x).

• The y-intercept of the function f(x) is equal to than the y-intercept of the function g(x).

• The y-intercepts cannot be determined.

The table below shows the cost of different numbers of goldfish at a pet store. The cost is a linear function of the number of goldfish. Which statement describes the rate of change of this function?

• The cost increases $0.30 each time 1 goldfish is added.

• The cost increases $1.50 each time 1 goldfish is added.

• The cost increases $3.00 each time 5 goldfish are added.

• The cost increases $6.00 each time 5 goldfish are added.

The cost to rent a paddleboat at the city park includes an initial fee of $7.00, plus $3.50 per hour. Which equation models the relationship between the total cost, y, and the number of hours, x, that the paddleboat is rented?

• y = 3.5x + 7

• y = 7x + 3.5

• y = x/7 + 3.5

• y = x/3.5 + 7

Write the an equation for the graph shown.

• y = -2x + 2

• y = 2x + 2

• y = 1/2x- 2

• y = -1/2x + 2

What is the function of the table?

• y=3x+1

• y=4x-2

• y=x+1

• y=x+7

What is an equation for the line that passes that passes through the points (1,1) and (3,5)?

• y = x + 2

• y = 1x -2

• y = 2x + 1

• y = 2x - 1

Which equation represents the line with the given slope and y intercept?

• y = 2x + 3

• y = 3x + 2

• y - 2 = 3x

• y = 2/3 x

Which equation represents the graph?

• y = 1/3 x - 2

• y - 2 = 3x

• y = 2x - 3

• y = 3x – 2