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  1. AP Pre Calculus
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Polynomial and Rational Functions

Question 1
college-boardPre-CalculusAPExam Style
1 mark

What type of angle measures more than 0° but less than 90°?

Question 2
college-boardPre-CalculusAPExam Style
1 mark

For modeling the depreciation of a car’s value over time assuming constant annual decrease, which type of mathematical model is most appropriate?

Question 3
college-boardPre-CalculusAPExam Style
1 mark

Which type of model best describes a scenario where the cooling temperature of a cup of coffee in a room is proportional to the difference between the coffee's temperature and room temperature?

Question 4
college-boardPre-CalculusAPExam Style
1 mark

Which of the following functions is continuous at x=3x = 3x=3?

Question 5
college-boardPre-CalculusAPExam Style
1 mark

Which type of function is guaranteed to have continuity across its entire domain?

Question 6
college-boardPre-CalculusAPExam Style
1 mark

In a proportional relationship where yyy is multiplied by a constant to equal xxx between two variables yyy and xxx, what is the constant referred to as in this context of a proportionality constant?

Question 7
college-boardPre-CalculusAPExam Style
1 mark

Given a multi-phase project where each phase can be modeled by either a linear, quadratic, or exponential function, which function type would be best to model the diminishing returns in productivity over time as employees become fatigued?

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Question 8
college-boardPre-CalculusAPExam Style
1 mark

If a horizontal line intersects a graph more than once, what property does the graph lack?

Question 9
college-boardPre-CalculusAPExam Style
1 mark

When analyzing h(x)=ln⁡∣x−5∣h(x)=\ln|x-5|h(x)=ln∣x−5∣ near x=5x=5x=5, what type of discontinuity should students expect to find?

Question 10
college-boardPre-CalculusAPExam Style
1 mark

If function fff has an inverse denoted by f−1f^{-1}f−1 and the point (3,7)(3, 7)(3,7) lies on the graph of fff, which point must lie on the graph of f−1f^{-1}f−1?