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Lesson: Graphs of Exponential Functions

In this lesson, we will learn how to sketch exponential functions.

Sample Question Videos

05:10
06:48
01:16

Worksheet • 20 Questions • 4 Videos

Q1:

Which graph demonstrates exponential growth?

  • A
  • B
  • C
  • D

Q2:

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

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

Q3:

Determine the function represented by the graph shown.

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

Q4:

The graph of the function 𝑓 ( 𝑥 ) = 𝑎 𝑥 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 ⋅ 1 2 𝑡 2
  • B 𝑁 = 2 0 0 ⋅ ( 4 ) − 𝑡
  • C 𝑁 = 2 0 0 ⋅ 1 4 𝑡
  • D 𝑁 = 2 0 0 ⋅ 𝑒 − 1 . 3 9 𝑡
  • E 𝑁 = 2 0 0 ⋅ 1 2 2 𝑡

Q6:

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

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

Q7:

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

  • A
  • B
  • C
  • D

Q8:

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

  • A
  • B
  • C
  • D
  • E

Q9:

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

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
  • B
  • C