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- Which of the following are true of the function
f ( x ) ex^ 4?
I. f has an x -intercept at
(ln 4,0). II. The graph of f has an asymptote
y 4. III. The graph of f is increasing on the interval
I
II
III
I and II
I and III
II and III
I, II, and III
- Cannot be determined
- None of the above
- Find the equations of all the asymptotes of the function f.
f ( x ) x
(^2) 2 x 15
x^2 7 x 10
y 0, x 2, x 5
y 0, x 2
y 1, x 2, x 5
y 1, x 2
x 0, y 2, y 5
x 0, y 2
x 1, y 2, y 5
x 1, y 2
- None of the above
- Which of the following are true of the function
f ( x ) log 2 (8 x )? I. f has an y -intercept at (0,3). II. The graph of f has an asymptote
y 0. III. The domain of f is
I
II
III
I and II
I and III
II and III
I, II, and III
- Cannot be determined
- None of the above
- Given
f ( x ) 2( x a )^2 ( x b ), where a and b are positive real numbers such that
a b. What is the solution to
f ( x ) 0?
(, a )( a , b )( b ,)
(, a ) ( a , b )
( a , b ) ( b ,)
(, a )( b ,)
( b ,)
( a ,)
( a , b )
(, b )
(, a )
- Given
f ( x ) 2 x x 3
, find
f ^1 ( x )
f ^1 ( x ) x^ ^3 2 x
f ^1 ( x ) 3 2 x 1
f ^1 ( x ) 3 2 x 1
f ^1 ( x ) 2 1 3 x
f ^1 ( x ) 2 1 3 x
f ^1 ( x ) x^ ^2 3 x
f ^1 ( x ) 3 x x 2
f ^1 ( x ) 2 ^ x 3 x
f ^1 ( x ) 3 x 2 x \
- Suppose $31,000 is deposited in a savings account that has an interest rate of 5.7 % per year and the interest is compounded monthly. How much money will be in the account after 17 years? Round your answer to the nearest cent. 1)
- None of the above
- Given
f ( x ) x^3 8 , find f ^1 ( x ).
f ^1 ( x ) 3 x 8
f ^1 ( x ) 3 x 8
f ^1 ( x ) 3 x 8
f ^1 ( x ) 3 x 8
f ^1 ( x ) 3 x 8
f ^1 ( x ) 3 x 8
f ^1 ( x ) 3 x 8
f ^1 ( x ) 3 x 8
- None of the above
- Solve the following equation.
ln( x 2) 1 ln x 1)
x e^ ^1 2 e
x ^2 e
e 1
x e^ ^1
x 2 e 1
x e^ ^2 e
x e
e 2
x e 2
x 1 e 2
- No solution exists
- Find an equation of a rational function, f , that satisfies the given conditions. Vertical asymptotes: x 1 and x 5 Horizontal asymptote: y = 2 x -intercepts: 2, 3 hole at x = 0
f ( x ) 2( x^ 2)( x^ ^ 3) ( x 1)( x 5)
f ( x ) x ( x^ ^ 2)( x^ ^ 3) x ( x 1)( x 5)
f ( x ) 2(( xx ^ 2)(^ 1)( xx 3)5)
f ( x ) x ( x^ ^ 1)( x^ ^ 5) x ( x 2)( x 3)
f ( x ) ( x^ ^ 1)( x^ ^ 5) ( x 2)( x 3)
f ( x ) 2 x ( x^ ^ 1)( x^ ^ 5) x ( x 2)( x 3)
f ( x ) 2( x^ ^ 1)( x^ ^ 5) x ( x 2)( x 3)
f ( x ) 2 x ( x^ ^ 2)( x^ ^ 3) x ( x 1)( x 5)
- f ( x ) ( x^ ^ 2)( x^ ^ 3) ( x 1)( x 5)
- Solve the equation using common logarithms. Give an exact answer.
4 x ^3 3 x ^1
x 4
x 15
x 999, 10003
x 3 log4, 1 log 3
x 4 log4 log 3
x log4^ ^ log 3 4
x 3log4^ ^ log 3 log 4 log 3
x log 4^ ^ log 3 3log4 log 3
No solution exists
- Which of the following are true of the function
f ( x ) 5 x 3
I. f has a x - intercept at
II. The range of the function is
III. The graph of f is increasing on the interval
I
II
III
I and II
I and III
II and III
I, II, and III
- Cannot be determined
- None of the above
- The population of a city has been increasing continuously at rate of 1.39% per year. The current population is 62,000. Assume this growth rate will continue indefinitely. Approximate how much time (in years) must pass so that the population is 100,000. Round your answer to the nearest tenth of a year.
1)34.0 years 2)34.1 years 3)34.2 years 4)34.3 years 5)34.4 years 6)34.5 years 7)34.6 years 8)34.8 years
- None of the above
Answer Key
