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MA002 Final Exam - College Algebra - Precalculus I
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MA002 Final Exam - College Algebra - Precalculus I
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25 Questions

1. Graph the following functions f(x) = 3x - 2 and f(x) = 4 - x and estimate where they intersect.
2. Which of the following functions does not have an inverse?
3. Write an equation for the graph below.
4. Solve

5. Using the tables below, evaluate f(g(2)) and g(f(1).

x f(x)
1 3
2 6
3 9
4 12


x g(x)
1 2
2 4
3 6
4 8
6. Write this logarithmic equation as an exponential equation and solve for x:

7. Write an equation for the rational function graphed below.
8. A population of seagulls grows from 75 to 102 in 6 months. Find the continuous growth rate.
9. Use a graphing calculator to find the extrema for the function

10. Determine which toolkit function has been transformed with a horizontal shift into the graph below. 'z-index:251658240;position:absolute;margin-top:101.75pt;width:156.75pt;height:156.75pt;visibility:visible;margin-left:360.45pt;'>
11. Sketch a graph of the following equation

and determine which graph below represents this function.Graph A
Graph B
Graph C
Graph D
12. Expand

 using log properties
13. Assuming a scale of 1 for the graph below, determine the slope.
14. Find a formula describing the change in owl population in North America if there were 280 in 2008 and 255 in 2010. (Consider 2008 to be 'time 0').
15. Sketch a graph and find the vertical asymptotes of the function

16. Assuming a scale of 1, determine which graph below represents the function y = 1.5 + 2.5x.Graph A
Graph B
Graph C
17. At a particular candy factory, a large mixing bin begins with 75 gallons of water and 4 pounds of sugar. A machine will pour in additional water at a rate of 7 gallons per minute and sugar at a rate of 1 pound per minute into the bin. Write an equation for the concentration (c) of sugar in the bin at any given moment (t).
18. Which of the following tables demonstrates a one-to-one function?
Table 1:
Input Output
3 8
2 16
3 24

Table 2:
Input Output
-2 3
0 2
2 3


Table 3:

Input Output
-1 1
0 0
2 2
19. Find the zeros and their multiplicity for the function

20. Solve

21. The math grades for two students are listed below over the given time span. Which student's grade increased at a higher rate?

Year Bobby Fred
2009 75 69
2012 89 84
22. A ball is thrown upwards from the top of a 134 foot tall building at a speed of 129 feet per second. The ball's height above ground can be modeled by the equation

. When does the ball hit the ground?
23. What is a function?
24. Given the function

, find the average rate of change on the interval [1, 5].
25. Create an equation representing the following scenario where t stands for time in years: You invest $5,000 in an account paying 4.5% interest compounded monthly.

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