Mercer County Community College MAT146 PRECALC Prof. Porter's Practice Midterm

 

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Formulas:

P=QeRT

 

P=Q(1+R/N)NT

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  1. Use the following data to answer the questions below.

= =

-2

0.1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

-1

0.9

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

0

2.2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

4.1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2

8.0

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

a.) Plot the data points on the graph

 

 

 

 

 

2

 

 

 

 

 

 

 

 

 

 

 

 

1

 

 

 

 

 

 

 

b.) Draw a curve of best fit on the

 

 

 

-2

-1

0

1

2

 

 

 

 

 

Graph above: that is, draw a

 

 

 

 

 

-1

 

 

 

 

 

 

 

Straight line which comes as close

 

 

 

 

 

-2

 

 

 

 

 

 

 

As possible to all the data points

 

 

 

 

 

 

 

 

 

 

 

 

 

(this is also called the regression

 

 

 

 

 

 

 

 

 

 

 

 

 

Line).

 

 

 

 

 

 

 

 

 

 

 

 

 

c.) Use the calculator to give the equation of the exponential regression

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  1. Sketch the graph of .

 

State the Domain _______________ State the Range ________________

 

State the asymptote _____________ State the y-intercept _____________

 

 

  1. Find the inverse for the function.

 

 

 

 

ANSWER:____________________

Use the inverse to help find the x-intercept in the problem .

Give your answer to TWO DECIMAL PLACES

 

 

 

 

ANSWER:____________________

 

  1. Consider the function: g(x) = log (x + 3) + 4

 

State the Domain _______________ State the Range ________________

 

State the asymptote _____________ State the y-intercept _____________

 

State the x-intercept _____________

 

 

 

  1. In 1950 the radiation levels were fount to be 1400 bars. In 1970 the levels had dropped to 700 bars. Assuming the decay is exponential in nature

 

Determine the rate of decay r

 

Rate:____________

What is the half life (in years)?

 

Half-life:_________

 

What do you estimate the level of radiation to be in 2000?

 

 

  1. Suppose bank A is offering 5.1% on a CD that compounds monthly, but bank B is offering 5.05% on a CD compounding continuously.

 

How much money would I have if I invested $1000 in each account for two years?

 

 

 

 

 

Bank A:____________________

 

Bank B:____________________

 

How could I earn the most on my $2000 ?

 

 

 

ANSWER:____________________

ANSWER:____________________

  1. Solve the following for x (exactly):

 

 

ANSWER:____________________

 

 

ANSWER:____________________

 

  1. Given the functions below,

 


 

Find g-1(x)

 

 

g-1(x) = _________________________

Find (g o g-1)(10100)

 

(g o g-1)( 10100)._________________________

 


  1. Graph the function. Label the intercepts and asymptote.

 

 

 

 

 

 

Find the y-intercept to 2 decimal places.