Unit 4 Test – Exponential Functions
MCR 3U1
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Name:
Date:
MCR 3U1 – Unit 4 Test: Exponential Functions
K/U
/15
App
/14
Th
/10 Comm
PART A: KNOWLEDGE - (15 Marks)
For full marks, show all your work for the questions that follow.
1. Simplify. Write each expression using only positive exponents.
 18a b
2a 2 b 5
3


a)
c)
3

 4x 4
b) 
1
 10 y 3

2
 x  x 
2
4
3
 100 

d) 
 25 






2
1
2


2. Solve the following exponential equations.


a)
5 y 1  125 3
b) 16
x2
 64 x  4
/15
MCR 3U1
Unit 4 Test – Exponential Functions
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PART B: APPLICATION – (14 Marks)
3. An antique painting is purchased in 1980 for $995. The value increases by 3.1%
every year. Determine the increase in value of the painting in the 6th year after it
was purchased. You must include an equation with your solution.

4. The value of a car depreciates by 30% each year. If the car was purchased for
$25 000, what will the value of the car be in 4 years? You must include an
equation with your solution.

5. The number of ants in a colony triples every month. If there are about 150 ants
now, how long will it take for their numbers to grow to 12,150? You must include

an equation with your solution.
Unit 4 Test – Exponential Functions
MCR 3U1

6. Solve
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3 g 3  3 g  2  1458 .
PART C: THINKING – (10 Marks)
7. Solve the equation
2x
2
2x
 8x  2

8. Simplify the expression
exponents.

Express your answer with positive
MCR 3U1
Unit 4 Test – Exponential Functions
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COMMUNICATION (15 marks)
9. Write an equation for each of the exponential functions shown below. The base
graph is y  2 x . There are no compressions or expansions. (2 marks each)
a) Final Equation: _________________
10. List the transformations on the function
b) Final Equation: __________________
. (4 marks)
MCR 3U1
Unit 4 Test – Exponential Functions
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11. Sketch the graph of the exponential function y  2 x 4  4 below. Be sure to include
and label the intercepts and asymptote. State the domain and range of the function.
(7 marks)