i y - ab iy -x a) i only b) i, ii, and i only i y - 2x° iv y - c2* c) i, ii, i and iv d) none of the above _9 The value y- 1 is always present in f(x) = a*. a) true b) false c) sometimes true d) cannot be determined 10 Chomicte dofino the aci alkalinity of a cubctarnce acc ording to the formula

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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_8 Which of the following is/are NOT exponential equation/s?
iy = x
a) i only
b) i, ii, and i only
ii y = ab
ii y = 2x°
iv y = c2x
c) i, ii, i and iv
d) none of the above
_9 The value y = 1 is always present in f(x) = a*.
a) true
b) false
c) sometimes true
d) cannot be determined
_10 Chemists define the acidity or alkalinity of a substance according to the formula
pH = -log(H*] where [H*] is the hydrogen ion concentration, measured in moles per
liter. You test some ammonia and determine the hydrogen ion concentration to be
[H*] = 1.3 x 10-9. Find the pH value.
a) 8.0
b) 8.09
c) 8.99
d) 8.89
_11 Write an equation to describe the logarithmic function in form y = alogbx, with base 3
and passing through the point (81,2).
a) The equation is y = 5log3x.
b) The equation is y =0.5log3x.
c) The equation is y=5.0log3x.
d) The equation is y =.5log3x.
_12 The graph of a logarithmic function passes through x = -2, what is the domain?
a) The domain is the set of Real
Numbers excluding 2.
b) The domain is the set of Real
Numbers greater than -2.
_13 What is the y – intercept of log2 (x+4)?
a) (0, 0)
b) (0, 1)
c) The domain is the set of Real
Number greater than 2.
d) The domain is the set of Real
Numbers including -2.
c) (0, 2)
d) (0, -2)
_14 What happens to the y value if f(x) = 2* is changed to f(x) = 2*1?
a) The y in f(x) = 2**1 is equal to f(x) = 2".
b) The y in f(x) = 2**1 is less than that of f(x) = 2%.
c) The y in f(x) = 2*+1 is greater than that of f(x) = 2%.
d) The y in f(x) = 2**1 is twice the y value of f(x) = 2*.
_15 Given the points (0,1). (1,4), (2,16) and (3,64) as some values in a table for an
exponential function, what is the common ratio?
a) o
b) 2
c) 4
d) 8
_16 Loudness is measured in decibels. The formula for the loudness of a sound is given
by dB = 10logM where lo is the intensity of sound that can barely be perceived.
Considering that prolonged exposure to sounds above 85 decibels can cause hearing
damage or loss, and considering that a gunshot from a .22 rimfire rifle has an intensity of
about M = (2.5 x1013), should a policeman follow the rules and wear ear protection when
relaxing at the rifle range?
a) The rifle creates a noise level of about 134 decibels and therefore an ear protection
is NOT necessary.
b) The rifle creates a noise level of about 134 decibels and therefore an ear protection
is necessary.
c) The rifle creates a noise level of about 125 decibels and therefore an ear protection
is necessary.
d) The sound that the rifle creates cannot be determined.
_17 The expression logb(x®) can be written as:
a) blogx
b) xlogbe
c) plogsx
d) xlog
Transcribed Image Text:_8 Which of the following is/are NOT exponential equation/s? iy = x a) i only b) i, ii, and i only ii y = ab ii y = 2x° iv y = c2x c) i, ii, i and iv d) none of the above _9 The value y = 1 is always present in f(x) = a*. a) true b) false c) sometimes true d) cannot be determined _10 Chemists define the acidity or alkalinity of a substance according to the formula pH = -log(H*] where [H*] is the hydrogen ion concentration, measured in moles per liter. You test some ammonia and determine the hydrogen ion concentration to be [H*] = 1.3 x 10-9. Find the pH value. a) 8.0 b) 8.09 c) 8.99 d) 8.89 _11 Write an equation to describe the logarithmic function in form y = alogbx, with base 3 and passing through the point (81,2). a) The equation is y = 5log3x. b) The equation is y =0.5log3x. c) The equation is y=5.0log3x. d) The equation is y =.5log3x. _12 The graph of a logarithmic function passes through x = -2, what is the domain? a) The domain is the set of Real Numbers excluding 2. b) The domain is the set of Real Numbers greater than -2. _13 What is the y – intercept of log2 (x+4)? a) (0, 0) b) (0, 1) c) The domain is the set of Real Number greater than 2. d) The domain is the set of Real Numbers including -2. c) (0, 2) d) (0, -2) _14 What happens to the y value if f(x) = 2* is changed to f(x) = 2*1? a) The y in f(x) = 2**1 is equal to f(x) = 2". b) The y in f(x) = 2**1 is less than that of f(x) = 2%. c) The y in f(x) = 2*+1 is greater than that of f(x) = 2%. d) The y in f(x) = 2**1 is twice the y value of f(x) = 2*. _15 Given the points (0,1). (1,4), (2,16) and (3,64) as some values in a table for an exponential function, what is the common ratio? a) o b) 2 c) 4 d) 8 _16 Loudness is measured in decibels. The formula for the loudness of a sound is given by dB = 10logM where lo is the intensity of sound that can barely be perceived. Considering that prolonged exposure to sounds above 85 decibels can cause hearing damage or loss, and considering that a gunshot from a .22 rimfire rifle has an intensity of about M = (2.5 x1013), should a policeman follow the rules and wear ear protection when relaxing at the rifle range? a) The rifle creates a noise level of about 134 decibels and therefore an ear protection is NOT necessary. b) The rifle creates a noise level of about 134 decibels and therefore an ear protection is necessary. c) The rifle creates a noise level of about 125 decibels and therefore an ear protection is necessary. d) The sound that the rifle creates cannot be determined. _17 The expression logb(x®) can be written as: a) blogx b) xlogbe c) plogsx d) xlog
_1 Which of the following is an exponential function?
а) у - х
b) f(x) = x²
c) y = 22
d) f(x) = 2*
_2 What does it imply when the graph of f(x) = a* is asymptotic to x axis?
a) The graph's trend increases to the left of the y – axis.
b) The graph's trend decreases to the left of the y – axis.
c) The graph's trend decreases to the right of the y – axis.
d) The graph's trend can either be that of a growth or decay function.
_3 What will be the behavior of the graph of an exponential function if the y intercept is at
(0, 2)?
a) The graph follows an exponential
growth.
b) The graph follows an exponential
decay.
4 The formula for the Richter rating of a quake is given by R - logQ.
You have a seismograph set up at home and see that there was an event while you
were out that had an intensity of Q = 989. A Richter rating of 4 or more means a
moderate quake occurred. Which of the following is TRUĚ given the situation?
a) The intensity of 989 is the result of a strong quake.
b) The intensity of 989 is the result of a microquake.
c) The intensity of 989 is the result of a moderate quake.
d) The intensity of 989 is NOT within the scale.
c) The trend of the graph is
decreasing.
d) The graph is asymptotic to the x-
axis.
_5 Is -1 part of the solution set for log7 (x+2) s 1?
a) Yes, because the solution set is -
2 <xs 5.
b) Yes, because the solution set is -
5 <xs 2.
c) No, because the solution set is -2
<xs 5.
d) Cannot be determined.
_6 What is the domain and range of f(x) = loga x?
a) The domain is the set of all x, where x is an element of Real Numbers, such that x is
greater than 0.
b) The domain is the set of all x, where x is an element of Real Numbers, such that x is
greater than 1.
c) The domain is the set of all x, where x is an element of Real Numbers, such that x is
greater than -1.
d) The domain is the set of all x, where x is an element of Real Numbers, such that x is
less than 0.
_7 What is the asymptote of f(x) = log3 (3 – 4x)?
a) The asymptote is vertical at -
b) The asymptote is horizontal at
c) The asymptote is vertical at.
d) The asymptote is horizontal at
Transcribed Image Text:_1 Which of the following is an exponential function? а) у - х b) f(x) = x² c) y = 22 d) f(x) = 2* _2 What does it imply when the graph of f(x) = a* is asymptotic to x axis? a) The graph's trend increases to the left of the y – axis. b) The graph's trend decreases to the left of the y – axis. c) The graph's trend decreases to the right of the y – axis. d) The graph's trend can either be that of a growth or decay function. _3 What will be the behavior of the graph of an exponential function if the y intercept is at (0, 2)? a) The graph follows an exponential growth. b) The graph follows an exponential decay. 4 The formula for the Richter rating of a quake is given by R - logQ. You have a seismograph set up at home and see that there was an event while you were out that had an intensity of Q = 989. A Richter rating of 4 or more means a moderate quake occurred. Which of the following is TRUĚ given the situation? a) The intensity of 989 is the result of a strong quake. b) The intensity of 989 is the result of a microquake. c) The intensity of 989 is the result of a moderate quake. d) The intensity of 989 is NOT within the scale. c) The trend of the graph is decreasing. d) The graph is asymptotic to the x- axis. _5 Is -1 part of the solution set for log7 (x+2) s 1? a) Yes, because the solution set is - 2 <xs 5. b) Yes, because the solution set is - 5 <xs 2. c) No, because the solution set is -2 <xs 5. d) Cannot be determined. _6 What is the domain and range of f(x) = loga x? a) The domain is the set of all x, where x is an element of Real Numbers, such that x is greater than 0. b) The domain is the set of all x, where x is an element of Real Numbers, such that x is greater than 1. c) The domain is the set of all x, where x is an element of Real Numbers, such that x is greater than -1. d) The domain is the set of all x, where x is an element of Real Numbers, such that x is less than 0. _7 What is the asymptote of f(x) = log3 (3 – 4x)? a) The asymptote is vertical at - b) The asymptote is horizontal at c) The asymptote is vertical at. d) The asymptote is horizontal at
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