Name: 
 

Math 12F LG 15-16 Practice Quiz #1


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
How many turning points does the exponential function f(x) = mc001-1.jpg(p)x have?
A.
0
B.
1
C.
2
D.
3
 

 2. 
Identify the range of the exponential function y = 10x.
A.
{y | y < 0, y Î R}
B.
{y | y > 0, y Î R}
C.
{y | y ¹ 0, y Î R}
D.
{y | y Î R}
 

 3. 
Determine the y-intercept of the exponential function g(x) = mc003-1.jpg.
A.
0
B.
mc003-2.jpg
C.
5
D.
10
 

 4. 
The following data set involves exponential decay. Determine the missing value from the table.
x
–3
–2
–1
0
1
2
y
500.00
100.00
 
4.00
0.80
0.16
A.
16.00
B.
20.00
C.
24.00
D.
40.00
 

 5. 
The equation of the exponential function that models a data set is
y = 78.20(0.87)x
Interpolate the value of y when x = 5.5.
A.
36.35
B.
46.49
C.
22.50
D.
38.98
 

 6. 
The equation of the exponential function that models a data set is
y = 6.8(1.03)x
Determine the range of this function.
A.
{y | y > 0, y Î R}
B.
{y | y Î R}
C.
{y | y > 6.8, y Î R}
D.
{y | y > 1.03, y Î R}
 

 7. 
Predict the end behaviour of f(x) = 10 log x.
A.
curve extends from quadrant I to quadrant II
B.
curve extends from quadrant I to quadrant IV
C.
curve extends from quadrant IV to quadrant I
D.
curve extends from quadrant II to quadrant I
 

 8. 
Which function will have the fastest decrease in the y-values?
A.
y = –mc008-1.jpg log x
B.
y = –2 log x
C.
y = –log x
D.
y = –5 log x
 

 9. 
The equation of the logarithmic function that models a data set is y = 43.9 – 8.7 ln x.
Determine the range of this function.
A.
{y | y Î R}
B.
{y | y > 0, y Î R}
C.
{y | y < 43.9, y Î R}
D.
{y | y > –8.7, y Î R}
 

 10. 
The following data set involves logarithmic growth. Determine the missing value.
x
1
2
3
4
6
8
y
0.0
2.0
3.2
 
5.2
6.0
A.
3.5
B.
4.0
C.
4.4
D.
5.0
 

Short Answer
 

 1. 
Determine if the exponential function h(x) = sa001-1.jpg is increasing or decreasing.
 

 2. 
Use exponential regression to interpolate the value of y when x = 10. Round your answer to the nearest tenth.
x
0
2
5
7
12
14
y
51.6
28.2
11.5
6.3
1.4
0.8
 

 3. 
The number of bees in a colony is modelled by the equation
N(d) = 120(1.15)d
where N(d) represents the number of bees and d represents the number of days from now.
How many bees should the beekeeper expect after a week?
 

Problem
 

 1. 
A research lab recorded the radioactive decay of a 85 mg sample of bismuth-210. The data table shows the amount of bismuth-210 remaining at the end of each week.
Day
0
7
14
21
28
35
Amount of Bismuth (mg)

85.0

32.2

12.2

4.6

1.75

0.66

a) Create a scatter plot, and draw a curve of best fit for the data using exponential regression.
b) Use your graph to estimate the half-life of bismuth-210.
 

 2. 
How can you use the graph of the function y = ex to help you graph the function y = ln x? Include a diagram with your explanation.
 



 
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