Worksheet: Graphs of Exponential Functions

In this worksheet, we will practice sketching and identifying the graphical transformations of exponential functions.

Q1:

Which graph demonstrates exponential growth?

  • A
  • B
  • C
  • D

Q2:

Determine the point at which the graph of the function 𝑓(𝑥)=6 intersects the 𝑦-axis.

  • A ( 6 , 0 )
  • B ( 1 , 0 )
  • C ( 0 , 1 )
  • D ( 0 , 6 )

Q3:

Determine the function represented by the graph shown.

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

Q4:

The graph of the function 𝑓(𝑥)=𝑎 passes through the point (3,1). What is the value of 𝑎?

Q5:

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

  • A 𝑁 = 2 0 0 𝑒
  • B 𝑁 = 2 0 0 ( 4 )
  • C 𝑁 = 2 0 0 1 2
  • D 𝑁 = 2 0 0 1 4
  • E 𝑁 = 2 0 0 1 2

Q6:

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

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

Q7:

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

  • A
  • B
  • C
  • D

Q8:

Which of the following graphs represents the equation 𝑦=14?

  • A
  • B
  • C
  • D
  • E

Q9:

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

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

Q10:

Which of the following graphs represents the equation 𝑦=23?

  • A
  • B
  • C
  • D
  • E

Q11:

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

  • A
  • B
  • C