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  1. AP Pre Calculus
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Exponential and Logarithmic Functions

Question 1
college-boardPre-CalculusAPExam Style
1 mark

If aaa and bbb are real numbers, which property demonstrates that ab=baab = baab=ba?

Question 2
college-boardPre-CalculusAPExam Style
1 mark

If the function f(x)=e2xf(x) = e^{2x}f(x)=e2x has an inverse, which of the following represents f−1(y)f^{-1}(y)f−1(y)?

Question 3
college-boardPre-CalculusAPExam Style
1 mark

If you subtract (4k+8)(4k + 8)(4k+8) from (9k+16)(9k + 16)(9k+16), what is the result?

Question 4
college-boardPre-CalculusAPExam Style
1 mark

If f(x)=x2−4x−2f(x) = \frac{x^2 - 4}{x - 2}f(x)=x−2x2−4​ for x≠2x \neq 2x=2, which of the following defines f(2)f(2)f(2) so that f(x)f(x)f(x) is continuous at x=2x = 2x=2?

Question 5
college-boardPre-CalculusAPExam Style
1 mark

Given h(x)=ln⁡(4−x)h(x)=\ln(4-x)h(x)=ln(4−x), what restriction must be placed on its domain so that it can have an inverse?

Question 6
college-boardPre-CalculusAPExam Style
1 mark

After adding the binomials X+yX+yX+y and (X−y)(X-y)(X−y), what is the result?

Question 7
college-boardPre-CalculusAPExam Style
1 mark

For a bijective cubic function fff defined by f(x)=a∗(x−h)3+k,a≠0f(x)=a*(x-h)^3+k, a \neq 0f(x)=a∗(x−h)3+k,a=0, which condition ensures that hhh or kkk do not alter the property that guarantees f−1f^{-1}f−1 exists?

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Question 8
college-boardPre-CalculusAPExam Style
1 mark

What do you call the set of all possible outputs for a given function?

Question 9
college-boardPre-CalculusAPExam Style
1 mark

For a linear function with an equation of y=mx+by = mx + by=mx+b, what does 'b' represent?

Question 10
college-boardPre-CalculusAPExam Style
1 mark

What term describes an exponential function's rate change over time?