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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. The graph of an exponential function:
2. Solve for x: 2x+3 = 32x-1.
3. 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?
4. Which function is most likely associated with the following graph?
5. The Roman Census under Emperor Augustus in 28 BC was listed at 4,063,000. Twenty years later in 8 BC, another census listed the population at 4,233,000. Assuming the figures are accurate, what was the growth rate of Rome in that 20-year period?
6. 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?
7. Find an equation for a parabola that contains the points (-1, -11) and (3, -11) and contains an absolute maximum of -3.
8. Find the value of x such that m(x) = 3 if m(x) =
9. Which of the following is true about a one-to-one function?
10. Which of the following shows the graph of a rational function?
A.
B.

C.
D.

Choose one answer.A.(rightanswer)
11. Which set identifies some of the places where the rational function
is defined?
12. A ball is hurled upward from the top of a building. Its height at time t (in seconds) can be described by the function H(t)=-16t2+64t+120. If the maximum height of the ball is 150 feet, how many seconds did it take for the ball to reach its maximum height?
13. A rectangle has a perimeter of 36. Find a function A(w) to describe the area of the rectangle, based upon the width.
14. 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?
15. The line that passes through the points (-7, -6.75), (3, -14.25), and (-2, -10.5), has which of the following characteristics?
16. What kind of function is depicted in the graph?
17. Solve the inequality
.
18. Squares with sides of size x are cut from the four corners of a rectangular piece of cardboard so that the cardboard can be folded into an open-topped rectangular box. The original cardboard is 20 × 24. Which function describes the volume of the resulting box as a function of x?
19. Solve for x: 2x+5 = 12.
20. Two integers have a sum of 82 and a product of 1,680. Find an equation to model the relation.
21. Find the function that fits the given points:
22. 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?
23. An investment compounded continuously tripled in five years. What was the approximate interest rate?
24. Consider a function f(x) = axn + bx, where a , b and n are integers larger than one. Which of the following statements is true?
25. Which of the following relations describes a function of x?

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