MTH 112 Chapter 4 Quiz 1

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1)  Evaluate when t = 15: 300e -.076t

(a) 95.95 (b) 39.31 (c) 0.000479718

(d) -1906.12 (e) None of these


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2)  

 Match the graph above with the correct function.
                                                
 (a)  f(x) = (1/2)x  - 1               (b)  f(x) = 3x - 1 
               
 (c)  f(x) = 3x+1                  (d)  f(x) = 4 x
 (e)  None of these




3)quest 2 Match the exponential function with the correct graph above: y = 2 + ex. (a) (b) (c) (d) (e)

4)    The range of f(x) = 3 - ex is (a) (3, ìnf) (b) [0, ìnf) (c) (-ìnf, ìnf)

(d) (-ìnf, 3) (e) None of these


5) $1500 is invested at a rate of 8% compounded quarterly. What is the balance at the end of 5 years?

(a) $1624.67 (b) $2237.74 (c) $2228.92 (d) $2226.04 (e) None of these


6)  A certain population increases according to the model P(t) = 250e0.47t Use the model to determine the population when t = 10. Round your answer to the nearest integer.

(a) 400 (b) 4091 (c) 27,487 (d) 23,716 (e) None of these


7) Write in logarithmic form: 43 = 64.

(a) 4 log 3 = 64 (b) log4 64 = 3 (c) log3 4 = 64

(d) log3 64 = 4 (e) None of these


8)Write in exponential form: logb 7 = 13.

(a) 713 = b (b) b13 = 7 (c) d7 = 13

(d) 7b = 13 (e) None of these


9) Find the vertical asymptote: f(x) = ln(x + 2).

(a) x = 2 (b) x = 0 (c) y = 2 (d) x = -2 (e) None of these


Students in an algebra class were given an exam and then tested monthly with an equivalent exam. The average score for the class was given by the human memory model

f(t) = 85 - 16 log10(t + 1)        0 < t < 12            

where t is the time in months.

10) What is the average score after 5 months?

(a) 73          (b) 74      (c) 59     (d) 56         (e) None of these

11)   For the above example, what was the average score at time zero, when the test was originally taken?

(a) 69 (b) 71 (c) 85 (d) 160


12 ) Evaluate log4 7 using the change of base formula.

(a) 0.2430 (b) 0.5596 (c) 0.7124 (d) 1.4037 (e) None of these


13) Write as the logarithm of a single quantity: log2(x - 2) + log2(x + 2).

(a) -2 + 2 log2 x   (b) log2(x2 - 4)       (c) 2log2 x

(d) log2 2x (e) None of these


14) Evaluate and simpify : ln e2x+3y

(a) ln 2x + ln 3y   (b) 6xy   (c)ln(2x +3y)   (d)2x + 3y


15) Write as the sum difference or multiple of logarithms: log x4y3

(a) 4log x - 3 log y (b) 4log x + 3log y (c) log(yx)12 (d) log x4*log y3



© 1997, 1998 1999   Joan Bookbinder