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Lesson: Graphing Data to Demonstrate Relationships

Sample Question Videos

Worksheet • 11 Questions • 1 Video

Q1:

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

  • A 𝐡
  • B 𝐴
  • C 𝐢
  • D 𝐷

Q2:

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

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

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 is a nonlinear function.
  • BIt could be a linear 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 must be from a nonlinear function.
  • BIt could be from a linear function.

Q5:

What function is represented in the figure below?

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

Q6:

Does the shown figure represent a linear function?

  • Ano
  • Byes

Q7:

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

  • Aless
  • Bmore
  • Cthe same

What is Moataz’s reading rate?

  • A100 pages per month
  • B80 pages per month
  • C300 pages per month
  • D50 pages per month
  • E150 pages per month

What is the expected rate?

  • A80 pages per month
  • B50 pages per month
  • C300 pages per month
  • D100 pages per month
  • E150 pages per month

Q8:

A car manufacturer claims that the consumption of fuel of one of their cars is 5.2 L/100 km. Bassem 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?

  • Aless
  • Bmore
  • Cthe same

Q9:

What function is represented in the figure below?

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

Q10:

What function is represented in the figure below?

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

Q11:

What function is represented in the figure below?

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