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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. Use a graphing calculator to graph and find the extrema for the function

on the interval [-3,0].
2. Assuming a scale of 1 for the graph below, determine the slope.
3. Which of the following functions does not have an inverse?
4. A certain isotope decays by about 15% each day. What is the half-life of this isotope (round to the nearest day)?
5. Estimate the correlation coefficient for the scatter plot below.
6. Write an equation for the following transformation of the graph below.
  • Move 3 units to the right
  • Move down 2 units
  • Vertical stretch such that the graph passes through the point (1,2)

7. If the graph below is reflected vertically, shifted to the left by 1, and down by 3, what is the equation of the new graph?
8. If f(x) is a linear function, find an equation for it given f(4) = -1 and f(9) = 2.
9. 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.
10. The number of honey jars produced by a swarm of bees (b) is given by H = f(b). A particular forest has 3 swarms of bees that produced 12 jars of honey. Express this information in terms of the function f.
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. Use a graphing calculator to find the extrema for the function

13. Determine the number of local extrema for the function

14. Given the table below which represents the dollars (in millions) of Brand X candies sold per year, determine if the trend appears linear. If so, use a graphing calculator to determine what year the dollars of candies sold will reach 3.4 million.

Year 1996 1998 2000 2002 2004 2006 2008 2010 2012
$$ 1.2 1.5 1.6 1.9 2.1 2.4 2.5 2.8 3.1
15. Sketch a graph and find the vertical asymptotes of the function

16. Write an expression for all values, x, within a distance of 8 from the number 3.
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. Solve

19. 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
20. Solve

21. Determine the inflection point(s) for the graph below.
22. 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 amount of water (w) in the bin at any given moment (t) during this process.
23. A ball is thrown upwards from the top of a 255 foot tall building at a speed of 249 feet per second. The ball's height above ground can be modeled by the equation

. When does the ball hit the ground?
24. Use the table below to find h-1(30).

x 15 30 45 60
h(x) 20 25 30 35
25. Expand

 using log properties

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