Worksheet: Graphing Data to Demonstrate Relationships

In this worksheet, we will practice identifying the graph of a linear function.

Q1:

Which line graphs the function 𝑦 = 2 π‘₯ + 3 ?

  • A 𝐷
  • B 𝐴
  • C 𝐢
  • D 𝐡

Q2:

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

Q3:

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

π‘₯ -value βˆ’ 1 0 4
𝑦 -value 5 4 0
  • AIt could be a linear function.
  • BIt is a nonlinear function.

Q4:

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

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

Q5:

What function is represented in the figure below?

  • A 𝑓 ( π‘₯ ) = βˆ’ 2 π‘₯
  • B 𝑓 ( π‘₯ ) = 2 π‘₯
  • C 𝑓 ( π‘₯ ) = π‘₯ βˆ’ 1
  • D 𝑓 ( π‘₯ ) = βˆ’ π‘₯ + 1

Q6:

Does the shown figure represent a linear function?

  • Ayes
  • Bno

Q7:

Benjamin read 2 books of 150 pages each in 3 months. At his school, the teacher showed a graph of the number of pages that pupils in his year group are expected to read against time.

Does Benjamin read less or more than what is expected from his school?

  • Athe same
  • Bless
  • Cmore

What is Benjamin’s reading rate?

  • A100 pages per month
  • B50 pages per month
  • C150 pages per month
  • D300 pages per month
  • E80 pages per month

What is the expected rate?

  • A50 pages per month
  • B300 pages per month
  • C80 pages per month
  • D150 pages per month
  • E100 pages per month

Q8:

A car manufacturer claims that the consumption of fuel of one of their cars is 5 . 2 / 1 0 0 L k m . Jennifer measured the distance she covered with different volumes of fuel. She plotted her results and drew a line of best fit.

Did her car consume more or less fuel than what the car manufacturer had claimed?

  • AThe same
  • BLess
  • CMore

Q9:

What function is represented in the figure below?

  • A 𝑓 ( π‘₯ ) = βˆ’ π‘₯ + 4
  • B 𝑓 ( π‘₯ ) = π‘₯ βˆ’ 4
  • C 𝑓 ( π‘₯ ) = βˆ’ π‘₯ βˆ’ 4
  • D 𝑓 ( π‘₯ ) = π‘₯ + 4

Q10:

What function is represented in the figure below?

  • A 𝑓 ( π‘₯ ) = βˆ’ π‘₯ βˆ’ 3
  • B 𝑓 ( π‘₯ ) = π‘₯ + 3
  • C 𝑓 ( π‘₯ ) = βˆ’ π‘₯ + 3
  • D 𝑓 ( π‘₯ ) = π‘₯ βˆ’ 3

Q11:

What function is represented in the figure below?

  • A 𝑓 ( π‘₯ ) = βˆ’ 2 π‘₯
  • B 𝑓 ( π‘₯ ) = 2 π‘₯
  • C 𝑓 ( π‘₯ ) = π‘₯ + 8
  • D 𝑓 ( π‘₯ ) = βˆ’ π‘₯ βˆ’ 8

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