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K12MATH012 Final Exam - Precalculus I
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MCQs on Common Core -aligned Precaculus problems.

K12MATH012 Final Exam - Precalculus I
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25 Questions

1. Calculate the average rate of change of j(x) = x3 - 5 over the interval [-2, 6].
2. Consider a function f(x) = axn + bx, where a , b and n are integers larger than one. Which of the following statements is true?
3. One root of the function g(x)=3x3-12x2-36x:
4. The cougar population in Oregon was estimated to be 5,000 animals in 2006, having grown from about 3,150 in 1996. In what year would we expect a population of 7,500?
5. The line that passes through the points (-7, -6.75), (3, -14.25), and (-2, -10.5), has which of the following characteristics?
6. Solve 7x = 8.
7. To the nearest tenth of a year, how long will it take for an investment of $2,000 to double if the interest rate is 3.5% per year, compounded continuously?
8. The cost of producing 'doomflots' is $325 for equipment plus another $32 for materials and labor for each one produced. How many 'doomflots' need to be produced such that the average cost per 'doomflot' is less than $50?
9. The function h(x)=2x-8x-24:
10. A woman throws a stone upward. Its height above the ground at t seconds can be described by h(t) = -16t2 + 48t + 6, where h is in feet. What is the maximum height that the stone can reach?
11. A city engineer is trying to model the shape of a hill using a quadratic function. She places a grid over a photograph of the hill and finds the following points to describe the relation: (-1, -11), (-2, -11), and (0, -9). Which of the following will help the engineer find that function?
12. Find an equation for a parabola that contains the points (-1, -11) and (3, -11) and contains an absolute maximum of -3.
13. What is the domain and range of the function g(x) = 4x2 - 11.5?
14. Find a function to model the area of a rectangle as shown in the diagram. The point (x,y) is on the line
.

15. A party planner charges $200 plus $7.50 per person for parties up to 20 people. For groups larger than 20, the charge is $17 per person. For groups of more than 50, the party planner charges $16 for each additional person. Which piecewise function describes the cost of the party as a function of the number of people attending?
16. Which of the following functions describes the total amount of money available after investing $5,000 at a rate of 2.3% for t years, compounded continuously?
17. What kind of function is depicted in the graph?
18. The graph of the function
will have a vertical asymptote at:
19. Find the missing table values for


20. Let f(x) = x - 3 and g(x) =
. Find g(f(3)).
21. Given the function g(x), identify a function with a graph two units to the left and five units down.
22. Find the value of x such that m(x) = 3 if m(x) =
23. Consider the function
and find f[f(2)].
24. A gardener has 200 feet of fencing to use to enclose an area for a rectangular garden. By putting the garden against one wall of the house, only three sides need to be fenced. What is a function that would describe the area of the resulting garden space if x is the length of the side perpendicular to the wall of the house?
25. A fly lights on the edge of an 18 ×12-inch picture frame and is x units away from a bottom corner, as designated by the star on the diagram. Which function describes how far the fly is from the top left corner?

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