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Worksheet: Graphing Data to Demonstrate Relationships

Q1:

Complete the following statement: The graph of a function is .

  • Aa set of circles
  • Ba set of lines
  • Ca set of ordered pairs consisting of an input and the corresponding output

Q2:

Does the shown figure represent a linear function?

  • Ayes
  • Bno

Q3:

After graphing the function using the given table of values, determine whether it could be a linear function.

-value 0 4
-value 5 4 0
  • AIt could be a linear function.
  • BIt is a nonlinear function.

Q4:

Determine whether the table below represents a linear or nonlinear function.

x 3 6 9 12
y 32 25 18 11
  • Alinear function
  • Bnonlinear function

Q5:

Determine whether the given table of values must be from a nonlinear function, or could be from a linear function.

-value 0 2 4 6
-value 3 4 5 6
  • AIt could be from a linear function.
  • BIt must be from a nonlinear function.

Q6:

The table shows the charge for a long distance call as a function of the number of minutes the call lasts. Determine whether the charge is a linear or a nonlinear function of the number of minutes.

Minutes 3 6 9 12
Cost (Cents) 51 102 153 204
  • A a linear function
  • B a nonlinear function

Q7:

Which line graphs the function ?

  • A
  • B
  • C
  • D

Q8:

Which equation represents the line shown?

  • A
  • B
  • C
  • D
  • E

Q9:

Which of the following equations represents the function drawn on the graph?

  • A
  • B
  • C
  • D
  • E

Q10:

What function is represented in the figure below?

  • A
  • B
  • C
  • D

Q11:

What function is represented in the figure below?

  • A
  • B
  • C
  • D

Q12:

What function is represented in the figure below?

  • A
  • B
  • C
  • D

Q13:

What function is represented in the figure below?

  • A
  • B
  • C
  • D

Q14:

Find the output, , of the function represented by the given graph when its input is 2.

Q15:

Noah rides his bike at a steady rate of 15 miles per hour. The function shows how time relates to the distance . Which graph represents this function?

  • A
  • B
  • C
  • D
  • E

Q16:

Chloe and Noah are professional cyclists training for an upcoming race. The given graph represents the distance Chloe traveled during one training session. The distance traveled by Noah is given by the function , where represents the distance in miles and represents the time in hours. Which of them is travelling faster?

  • AChloe
  • BNoah

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