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Worksheet: Comparing Rates of Change

Q1:

Determine which of the given functions has a greater rate of change.

(a)

01234
25811

(b)

  • Aa
  • BThey have the same rate of change.
  • Cb

Q2:

Which of the following functions has a greater rate of change?

(a)

(b)

  • AThey have the same rate of change.
  • Bb
  • Ca

Q3:

Consider the following graphs of linear functions, all of which have the same scales on the two axes.

List the graphs in order of increasing rate of change of with respect to .

  • A(a), (d), (c), (b)
  • B(b), (c), (a), (d)
  • C(b), (c), (d), (a)
  • D(c), (b), (a), (d)
  • EThis cannot be determined without more information.

Q4:

Which of the following functions increases at a higher rate?

  • A
  • B

Q5:

Determine which of the given functions has a greater rate of change.

(a)

01234
0246

(b)

  • Ab
  • BThey have the same rate of change.
  • Ca

Q6:

Determine which of the given functions has a greater rate of change.

(a)

(b) a function where the input is multiplied by 2

  • Aa
  • BThey have the same rate of change.
  • Cb

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