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  1. AP Pre Calculus
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Polynomial and Rational Functions

Question 1
college-boardPre-CalculusAPExam Style
1 mark

Given the exponential function EtE^tEt raised to the power of three fifths plus seven, how can you construct a model whose asymptote lies three units higher than the original function without altering the rate of growth or decay?

Question 2
college-boardPre-CalculusAPExam Style
1 mark

Which of the following angles is classified as an obtuse angle?

Question 3
college-boardPre-CalculusAPExam Style
1 mark

Considering f(x)=x4+x3−x2+xf(x) = x^4 + x^3 - x^2 + xf(x)=x4+x3−x2+x, what feature must we look for in order to determine if this function has an invertible section?

Question 4
college-boardPre-CalculusAPExam Style
1 mark

What is the maximum number of real zeros a fourth-degree polynomial can have?

Question 5
college-boardPre-CalculusAPExam Style
1 mark

When graphing a polynomial function, what feature indicates a real zero of the function?

Question 6
college-boardPre-CalculusAPExam Style
1 mark

Which type of method typically involves using a calculator to find approximate solutions for higher-degree equations?

Question 7
college-boardPre-CalculusAPExam Style
1 mark

How can one transform the basic quadratic function f(X)=X2f(X) = X^2f(X)=X2 to produce a graph that opens downward has vertex (−5,−7)(-5, -7)(−5,−7)?

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Question 8
college-boardPre-CalculusAPExam Style
1 mark

When dividing two nonzero real numbers, what type of result can be expected?

Question 9
college-boardPre-CalculusAPExam Style
1 mark

If k(x)=x6−64k(x) = x^6 - 64k(x)=x6−64, then which value of 'c' proves by synthetic division that c is NOT a zero of k?

Question 10
college-boardPre-CalculusAPExam Style
1 mark

What property describes the sum of a real number and its additive inverse?