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  1. AP Pre Calculus
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Polynomial and Rational Functions

Question 1
college-boardPre-CalculusAPExam Style
1 mark

If q(t)−p(t)q(t) - p(t)q(t)−p(t) represents rate change original position function ppp, then question asks identify correct interpretation given statement concerning expressions involving these functions.

Question 2
college-boardPre-CalculusAPExam Style
1 mark

Given the function f(x)=ax+bf(x)=ax+bf(x)=ax+b, where a and b are constants, if the rate of change of f(x)f(x)f(x) is always positive, what can we say about the values of a and b?

Question 3
college-boardPre-CalculusAPExam Style
1 mark

Which of the following is a possible zero for a polynomial function?

Question 4
college-boardPre-CalculusAPExam Style
1 mark

If h(x)=−2(x−5)2+7h(x) = -2(x -5)^2 +7h(x)=−2(x−5)2+7 represents a vertically stretched quadratic function, what is true about its vertex compared to that of f(x)=x2f(x)= x^2f(x)=x2?

Question 5
college-boardPre-CalculusAPExam Style
1 mark

If the leading coefficient of a polynomial function is doubled, how does this affect the end behavior of the graph?

Question 6
college-boardPre-CalculusAPExam Style
1 mark

If an object's height above ground over time can be modeled by h(t)=−16t2+v0t+h0h(t) = -16t^2 + v_0 t + h_0h(t)=−16t2+v0​t+h0​, what must v0v_0v0​ equal if it takes exactly three seconds for the object to hit the ground after being launched from an initial height h0h_0h0​ o...

Question 7
college-boardPre-CalculusAPExam Style
1 mark

What is the result when raising a real number to the power of zero?

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Question 8
college-boardPre-CalculusAPExam Style
1 mark

Which description best matches a linear function's graph?

Question 9
college-boardPre-CalculusAPExam Style
1 mark

Given the polynomial equation x3−4x2+5x−2=0x^3 - 4x^2 + 5x - 2 = 0x3−4x2+5x−2=0, which of the following could be a potential factor?

Question 10
college-boardPre-CalculusAPExam Style
1 mark

Which of the following functions has exactly one real zero?