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Worksheet: Graphs of Exponential Functions

Q1:

Determine the function represented by the graph shown.

  • A 𝑦 = 2 𝑥
  • B 𝑦 = 2 𝑥
  • C 𝑦 = 2 𝑥
  • D 𝑦 = 2 𝑥

Q2:

Which graph demonstrates exponential growth?

  • A
  • B
  • C
  • D

Q3:

Which of the following expressions does NOT describe the shown graph?

  • A 𝑁 = 2 0 0 1 2 2 𝑡
  • B 𝑁 = 2 0 0 1 4 𝑡
  • C 𝑁 = 2 0 0 𝑒 1 . 3 9 𝑡
  • D 𝑁 = 2 0 0 1 2 𝑡 2
  • E 𝑁 = 2 0 0 ( 4 ) 𝑡

Q4:

Which of the graphs is that of 𝑓 ( 𝑥 ) = 2 3 𝑥 ?

  • AC
  • BA
  • CD
  • DB

Q5:

Complete the sentence: The graph of an exponential function 𝑓 ( 𝑥 ) = 𝑎 𝑥 with 𝑎 > 0 and 𝑎 1 .

  • A has a horizontal asymptote at 𝑦 = 1
  • B usually has both positive and negative 𝑦 -values
  • C has a domain of positive real numbers
  • Dcontains the point (0, 1)

Q6:

Which of the following graphs represents the equation 𝑦 = 4 ( 2 ) 𝑥 ?

  • A
  • B
  • C
  • D

Q7:

Which of the following graphs represents the equation 𝑦 = 1 4 𝑥 ?

  • A
  • B
  • C
  • D
  • E

Q8:

Which of the following could be the equation of the curve?

  • A 𝑦 = 4 ( 1 + 3 ) 𝑥
  • B 𝑦 = 4 ( 1 3 ) 𝑥
  • C 𝑦 = 4 ( 1 + 3 ) 𝑥
  • D 𝑦 = 4 ( 1 3 ) 𝑥
  • E 𝑦 = 4 ( 1 + 3 ) 𝑥

Q9:

Which of the following expressions does NOT describe the shown graph?

  • A 𝑁 = 1 2 0 1 2 l n l n 1 3 1 2 𝑡
  • B 𝑁 = 1 2 0 1 3 𝑡
  • C 𝑁 = 1 2 0 𝑒 l n 1 3 𝑡
  • D 𝑁 = 1 2 0 1 2 l n l n 1 2 1 3 𝑡
  • E 𝑁 = 1 2 0 ( 3 ) 𝑡

Q10:

Which of the following graphs represents the equation 𝑦 = 2 3 𝑥 ?

  • A
  • B
  • C
  • D
  • E

Q11:

Which of the following graphs represents the equation 𝑦 = 2 ( 3 ) 𝑥 ?

  • A