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Math 112 College Algebra I

• Show all work to receive credit for each of the problems.
• Incorrect answers with incorrect work shown or no work shown will NOT receive any credit.
Circle your answers and when appropriate label them.
• Give answers to written questions in complete sentences.

1. (2 pts each) For each statement be low fill in the blank with the correct answer.

a. If f (3) = -2 then the point ________________ is on the graph of f (x).

b. The range of the relation S = {(-2,4), (0,5), (7,4), (9,1)} is ________________

c. The domain of the relation S = {(-2,4), (0,5), (7,4), (9,1)}is ________________.

d. The domain of the function is ________________.

2. (2 pts each) For each statement below circle T if the statement is true and F if the statement is false.

a. T F The relation S = {(-2,4), (0,5), (7,4), (9,1)} is a function.
b. T F An example of a rational number is –2.4.
c. T F All rational numbers are natural numbers

3. (2 pts each) Classify each number listed as one or more of the following : natural number, integer,
rational number irrational number, or real number . Put an X in the box with the correct
classification(s).

Number Integer Natural
Number
Real
Number
Irrational
Number
Rational
Number
5          
0          
         

4. (3 pts) Fill in the blanks in the sentence, using the list of words on the left.

graph
range
relation
vertical line
domain
point

A function is a ________________ in which each element in the
________________ corresponds to exactly one element in the ________________.

5. (2 pts) Which of the following numbers is written correctly in scientific notation. Circle the correct
answer.

6. (4 pts) Write 2.56*10-5 in standard form.

7. (4 pts) Write –34,500,000 in scientific notation.

8. (4 pts) Use a calculator to evaluate the expression . Write the answer in scientific notation accurate to
two decimal places.

9. (5 pts) Write a symbolic representation ( formula ) of a function H that computes the number of hours in
x years. Make sure you use function notation and show work to receive credit.

10. (5 pts) Beth has a pay as you go cell phone plan that charges 15ยข per minute. During December her
total bill was $60.75. How many hours did she talk? Give answer to the nearest hundredth. You must
show work to get credit.

11. Let

a. (2 pts) Evaluate

b. (3 pts) Simplify

c. (3 pts) Give a verbal re presentation of

d. (3 pts) Find the domain of

e. (5 pts) De termine a numerical representation of using a table with x = –1, 0, 1, 2, 3.

f. (5 pts) Determine the graphical representation of Use the grid on the right. Make sure to
include at least 3 points on the graph and capture the basic shape.

12. Below is a table of the printed value on the ticket of the most expensive Super Bowl ticket for a given
year.

a. (4 pts) Calculate the percent change in the price of a Super Bowl ticket from 1990 to 2009. Give
the answer to the nearest percent.

b. (6 pts) Make a scatter plot by hand , of the data on the grid below. Put the year on the x axis and
the price of the ticket on the y axis. Make sure that you use the entire grid; label the axes.

c. (6 pts) Use your calculator to graph a scatterplot of the above data. What would be an
appropriate viewing window? That is, choose a window so that the whole plot can be seen
and so that it fills most of the viewing screen. You should also be able to see separate and
distinct tick marks for each axis. Fill in the information in the correct spaces below.

Xmin = ________________Xmax = ________________Xscl =________________
Ymin = ________________Ymax = ________________Yscl =________________

13. Use the graph of the function g(x) at the right to answer the following questions.

a. (4 pts) Evaluate

b. (4pts) Find all x such that

c. (2pts) Circle the domain of the function above.

d. (2pts) Circle the range of the function above.

14. (4 pts) Determine if the graph at the right is a function.
Explain your answer.

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