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MA002 Final Exam - College Algebra - Precalculus I
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MCQs on Precalculus for college students.

MA002 Final Exam - College Algebra - Precalculus I
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25 Questions

1. Find a formula for an exponential function passing through the points (-3, 8) and (3, 2).
2. Determine the number of local extrema for the function

3. What is a function?
4. 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?
5. 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').
6. Given two points (2,3) and (0,6), find the slope and determine if the function is increasing or decreasing.
7. Find the horizontal intercepts of the function

8. Determine the number of local extrema for the function

9. Find the range of the function

10. Find a formula for the exponential function that generated the blue line graph below. Note: the y-axis is logarithmic.
11. 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.
12. Jeffrey is at a coffee shop 5 miles from home. He decides to take a walk with his friend at 2 miles per hour in the opposite direction of home. Write an equation for his distance from home h hours from now.
13. 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
14. You just got a new job in retail and you are given two options for your earnings:Option 1: Base salary of $15,000 per year plus a commission of 14% of your sales.Option 2: Base salary of $18,000 per year plus a commission of 10% of your sales.How much money in sales would you need to make in order for Option 1 to yield a higher income than Option 2?
15. Find the equation for the graph below (assume a scale of 1 unit).
16. Predict the owl population in North America for the year 2014 if there were 280 in 2008 and 255 in 2010.
17. Given the function

, find the average rate of change on the interval [1, 5].
18. A regression was run to determine if there is a relationship between how many hours of TV a person watches in a month (x) and the number of pizzas a person eats (y). Use a graphing calculator to graph this regression and predict how many pizzas a person who watches 30 hours of TV per month eats.y = ax + ba = -1.2b = 38.7
19. 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
20. 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
21. Find the inverse of the function

22. Use the quadratic formula to solve for x in the equation

23. Compute the inverse of the function

24. The graph below represents which toolkit function?
25. A certain isotope has a half-life of about 20 years. Find the annual decay rate.

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