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1.
Which one of the following is true about the graph of
log( )yx=
A)
It lies to the left of the y-axis.
B)
It is always decreasing.
C)
It has a vertical asymptote at x=0.
D)
It is concave up.
2.
Determine whether the following statement is true about the graph of
log( )yx=
It has a y-intercept of 1.
A)
True
B)
False
3.
The acidity of a substance is measured using pH values. The function
logpH H+
=−
gives the pH value of a substance where [H+] is the concentration of
hydrogen ions (measured in moles per liter).
Use the function to find the pH of a substance that has a hydrogen ion concentration of
4
10−
moles per liter
4.
The acidity of a substance is measured using pH values. The function
logpH H+
=−
gives the pH value of a substance where [H+] is the concentration of
hydrogen ions (measured in moles per liter).
Use the function to find the hydrogen ion concentration of a substance that has a pH of
12.
Write your answer as a power of 10.
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5.
The acidity of a substance is measured using pH values. The function
logpH H+
=−
gives the pH value of a substance where [H+] is the concentration of
hydrogen ions (measured in moles per liter). Use the table which includes the pH of
various substances to answer the question..
The ion concentration of coffee is how many times more than that of soap?
Substance
pH
Vinegar
3
Coffee
5
Chicken
6
Pure Water
7
Soap
9
Ammonia
10
Household Cleaner
12
A)
2
B)
16
10
C)
2
10
D)
16
6.
The noise level, N, of a sound (measured in decibels,db) is defined to be
16
10 log 10
I
N−
=
where I is the intensity of the sound (measured in watts/cm2).
Find the noise level (in decibels) of a sound with intensity
–12
10
watts/cm2.
7.
The noise level, N, of a sound (measured in decibels,db) is defined to be
16
10 log 10
I
N−
=
where I is the intensity of the sound (measured in watts/cm2).
Find the intensity (in watts/cm2) of a sound with a noise level of 30 decibels.
Write your answer as a power of ten.
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8.
Examine the following graph:
Select the graph that is a mirror image about the y-axis.
A)
B)
C)
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D)
9.
Given the graph:
Which curve represents the function
ln( – 2)yx=
?
A)
None of the lines represent the function
B)
C
C)
B
D)
A
A
B
C
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Answer Key