Unit 4 Practice Test

Why is this graph NOT a function?

• The graph extends only in one direction.

• There is no defined vertex.

• There is more than one y for almost all of the x values.

• There is more than one x for most of the y values.

Why is this graph a function?

• The line crosses at the origin.

• There is only one y output for each x input.

• The line extends in both a positive and negative direction.

• As it extends, the line will flatten out to only one y solution.

Elle is looking at graphs of functions that have the same slope and same y-intercept as 3x + 2y = 8.

Which graph is Elle looking at? 

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Bob is trying to figure out his costs for producing snow cones. The following function describes his costs (this includes any tax):

f(x)  = 2x + 25.  

Bob uses this function to model the weekly cost, in dollars, of producing x snow cones. Based on the graph and the situation, which domain and range makes sense for function f? 

• Domain: all numbers from 0 to 125. Range: all numbers from 0 to 50.

• Domain: all numbers from 0 to 50. Range: all numbers from 0 to 125.

• Domain: whole numbers only from 0 to 50. Range: whole numbers only from 25 to 125.

• Domain: whole numbers only from 0 to 50. Range: all numbers from 25 to 125.

Sarah is practicing her typing. The following table shows her words per minute.

At what average rate of change, in words per minute, does Sarah type from w(1)  to w(3) Enter your answer as a decimal rounded to the nearest tenth.

• 176 words per minute

• 63 words per minute

• 56.5 words per minute

• 83.5 words per minute

Which is the correct function that represents the graph?

• 5x - 7y = 10

• -5x + 7y = 10

• -5x - 7y = 10

• 5x + 7y = 10

The length and area of various bins are listed here:

Which equation BEST models this data? Let x represent the length and f(x) represent the area.

• f(x) = 109x + 35

• f(x) = 4x + 249

• f(x) = 2x + 179

• f(x) = 35x + 109

The relation below is also a function that represents the pay, y, after x, hours, of work for various jobs held by college graduates.

{(5, 100), (6, 130), (7, 170), (9, 250), (13, 500)}

Additional college graduates were asked about their hourly pay. Which of these combinations would make the relation NOT a function? Select ALL that apply. (there are 3)

• 3 hours of work for $100 pay

• 6 hours of work for $125 pay

• 10 hours of work for $130 pay

• 5 hours of work for $110 pay

• 9 hours of work for $200 pay

P is a function that gives the cost, in dollars, of mailing a letter from the United States to Mexico in 2018 based on the weight of the letter in ounces, w.

The function is defined by this set of rules:

What is the value and meaning of P(1.60)?

In this function, P(1.60) = ____, which means a stamped letter weighing ____ounces cost ____ to mail.

• $1.72

  1.60

  $1.72

• $2.29

  1.60

  $2.29

• $1.15

  1.60

  $1.15

• $2.86

  1.60

  $2.86

The graph of f(x) is shown.

What is f(-5) - f(2)?

What is f(-4) + f(5)?

Is this graph a function?

• -2

  9

  no

• 2

  1

  no

• 2

  1

  yes

• -2

  9

  yes