Lesson Worksheet: Exponential Functions Mathematics
In this worksheet, we will practice identifying, writing, evaluating, and analyzing exponential functions.
Q3:
Write an equation in the form for the numbers in the table.
| 1 | 3 | 4 | |
| 24 | 6 |
- A
- B
- C
- D
- E
Q5:
Write an exponential equation in the form for the numbers in the table.
| 0 | 1 | 2 | 3 | |
- A
- B
- C
- D
- E
Q6:
Observe the given graph, and then answer the following questions.
Find the -intercept in the shown graph.
As this graph represents an exponential function, every -value is multiplied by when increases by . Find for .
Find the equation that describes the graph in the form .
- A
- B
- C
- D
- E
Q7:
The given graph shows that .
Write an explicit formula for in the form .
- A
- B
- C
- D
- E
Graphically estimate the number that is multiplied by when increases by 1.
- A3
- B4.9
- C0.03
- D0.3
- E0.8
What calculation would allow you to find an accurate value for if you wanted to write in the form ?
- A
- B
- C
- D
- E
Q9:
Write an equation in the form for the numbers in the table.
| 0 | 1 | 2 | 3 | |
| 6 | 13.5 |
- A
- B
- C
- D
- E
Q10:
Write an equation to represent the statement “The value of is equal to five to the power of .”
- A
- B
- C
- D
- E
Q11:
Write an exponential equation in the form for the numbers in the table.
| 1 | 2 | 3 | |
- A
- B
- C
- D
- E
Q13:
Write an equation to represent the statement “When 1.5 is raised to the power of and the result is multiplied by 4, the answer is .”
- A
- B
- C
- D
- E
Q17:
What are the base and exponent of the function ?
- Abase , exponent
- Bbase , exponent
- Cbase , exponent
- Dbase , exponent
Q19:
Complete the given table of function values for an exponential function with and .
| 0 | 1 | 2 | ||
- A
0 1 2 0.5 1 2 4 - B
0 1 2 1 3 9 - C
0 1 2 1.5 3 6 12 - D
0 1 2 2 6 18 - E
0 1 2 3 0 3 12
How does this function grow (i.e., how does the -value change every time increases by 1)?
- AEvery time increases by 1, is multiplied by .
- BEvery time increases by 1, is multiplied by 3.
- CEvery time increases by 1, is multiplied by 2.
- DEvery time increases by 1, is multiplied by 1.
- EEvery time increases by 1, is multiplied by 6.
What parameter in the formula determines this factor, or ?
- AThe multiplication factor when increases by 1 is determined by .
- BThe multiplication factor when increases by 1 is determined by .
Q21:
If , what is ?
Q22:
Consider an exponential function .
Give an expression for .
- A
- B
- C
- D
- E
What can you conclude about the way an exponential function grows?
- AAn exponential function grows by a constant factor over a constant interval .
- BAn exponential function grows by a constant factor over a constant interval .
- CAn exponential function grows by a constant factor over a constant interval .
- DAn exponential function grows by a constant factor over a constant interval .
- EAn exponential function grows by a constant factor over a constant interval .
Q23:
Given that , determine .
Q24:
Given that , determine the value of .
- A
- B
- C
- D
Q25:
Given that , determine the value of .
- A
- B81
- C
- D