Transcendentals 9th Edition Stewart
True / False
Indicate whether the statement is true or false.
1. Determine whether the statement is true or false.
If and f is a decreasing function, then .
a. True
b. False
Multiple Choice
Indicate the answer choice that best completes the statement or answers the question.
2. At the surface of the ocean, the water pressure is the same as the air pressure above the water, .
Below the surface, the water pressure increases by for every 10 ft of descent. At approximately
what depth is the pressure ?
a. 247 ft
b. 276 ft
c. 30 ft
d. 56 ft
e. 359 ft
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3. Identify the graph of the following function.
a. b.
c. d.
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4. After alcohol is fully absorbed into the body, it is metabolized with a half-life of about 1.25 hours. Suppose
you have had three alcoholic drinks and an hour later, at midnight, your blood alcohol concentration (BAC) is
0.6 mg/mL. Find an exponential decay model for your BAC t hours after midnight.
a.
b.
c.
d.
e. None of the above
5. The manager of a weekend flea market knows from past experience that if he charges x dollars for a rental
space at the market, then the number y of spaces he can rent is given by the equation . What
does the x-intercept indicate?
a. There will be no spaces occupied when the rental cost is $70.
b. There will be no spaces occupied when the rental cost is $560.
c. There will be 560 spaces occupied when there is no rental cost.
d. There will be 8 spaces occupied when there is no rental cost.
e. The number of occupied spaces decreases by 5 for every $1 increase in rent.
6. Determine the range of the following function.
a.
b.
c.
d.
e.
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7. Determine the domain and range of the function .
a. Domain: , range:
b. Domain: , range:
c. Domain: , range:
d. Domain: , range:
e. Domain: , range:
f. Domain: , range:
8. Starting with the graph of , write the equation of the graph that results from shifting 7 units to the left
and 6 units upward.
a.
b.
c.
d.
e.
9. Biologists have noticed that the chirping rate of crickets of a certain species is related to temperature, and the
relationship appears to be very nearly linear. A cricket produces 108 chirps per minute at 70°F and
228 chirps per minute at 90°F. Find a linear equation that models the temperature T as a function of the
number of chirps per minute N.
a.
b.
c.
d.
e.
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