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Final Exam Review Part II

Authored by Cecilia Almazan Castillo

Mathematics

University

Final Exam Review Part II
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12 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The exponential function f with base b is defined by  f(x)=f\left(x\right)= ______, where  b>0 and b1.b>0\ and\ b\ne1.   

 bxb^x  

 xbx^b  

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The graph of the exponential function f with base b approaches, but does not touch, the ____-axis.

x

y

z

3.

FILL IN THE BLANK QUESTION

3 mins • 1 pt

Use the compound interest formula  A=P(1+rn)ntA=P\left(1+\frac{r}{n}\right)^{nt}  to solve the given problem. Round answer to the nearest cent. Find the accumulated value of an investment of $15,000 for 4 years at an interest rate of 5% if the money is compounded semiannually.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The equation  y=logbxy=\log_bx  is equivalent to the exponential form ______, where  x>0, b>0, b1.x>0,\ b>0,\ b\ne1.  

 bx=yb^x=y  

 by=xb^y=x  

 xb=yx^b=y  

 yx=by^x=b  

 xy=bx^y=b  

5.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Fill in the blank so that the resulting statement is true. logbb=\log_bb= ______ 

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The product rule for logarithms states that  logb(MN)=\log_b\left(MN\right)= ______. 

 logbM+logbN\log_bM+\log_bN  

 logbMlogbN\log_bM-\log_bN  

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If  bM=bNb^M=b^N  , then _______.

M = N

b = N

b = M

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