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  2. AP Pre Calculus
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Polynomial and Rational Functions

Question 1
college-boardPre-CalculusAPExam Style
1 mark

What is the end behavior of the polynomial function f(x)=3x5−2x3+x−5f(x) = 3x^5 - 2x^3 + x - 5f(x)=3x5−2x3+x−5 as xxx approaches positive infinity?

Question 2
college-boardPre-CalculusAPExam Style
1 mark

Which graph feature corresponds to the roots of a polynomial function when plotted on Cartesian coordinates?

Question 3
college-boardPre-CalculusAPExam Style
1 mark

Which property states that the order in which two real numbers are multiplied does not change their product?

Question 4
college-boardPre-CalculusAPExam Style
1 mark

What is the degree of the polynomial function f(x)=4x3−x+2f(x) = 4x^3 - x + 2f(x)=4x3−x+2?

Question 5
college-boardPre-CalculusAPExam Style
1 mark

If g(x)=(x−6)(x+4)g(x) = (x-6)(x+4)g(x)=(x−6)(x+4), what are the x-intercepts of g(x)g(x)g(x)?

Question 6
college-boardPre-CalculusAPExam Style
1 mark

Which of the following represents an acute angle?

Question 7
college-boardPre-CalculusAPExam Style
1 mark

Which of the following represents the domain of a polynomial function?

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Question 8
college-boardPre-CalculusAPExam Style
1 mark

What is the shape of the graph for any polynomial function with an odd degree and a positive leading coefficient?

Question 9
college-boardPre-CalculusAPExam Style
1 mark

Which transformation of the function f(x)=x2f(x) = x^2f(x)=x2 will result in a graph that is narrower and shifted 3 units up?

Question 10
college-boardPre-CalculusAPExam Style
1 mark

What do we call an equation such as x5−x4+x3−x2+x−6=0x^5 - x^4 + x^3 - x^2 + x - 6 = 0x5−x4+x3−x2+x−6=0?