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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 the population of a certain species of fish decreases by 12% each year, which function type best models this situation?

Question 2
college-boardPre-CalculusAPExam Style
1 mark

When modeling data with a logarithmic trend, which equation would you use to predict the value of y when x is increased tenfold?

Question 3
college-boardPre-CalculusAPExam Style
1 mark

In modeling population growth using an exponential function P(t)=P0ertP(t)=P_0e^{rt}P(t)=P0​ert, with P0P_0P0​ being initial population and rrr being growth rate, what logarithmic equation would you use to find how long it takes for population to double?

Question 4
college-boardPre-CalculusAPExam Style
1 mark

If you have an equation involving logarithms where you need to solve for x that looks like log⁡2(x+7)=4\log_{2}(x+7) = 4log2​(x+7)=4, what is the value of x?

Question 5
college-boardPre-CalculusAPExam Style
1 mark

What does it mean if a function is continuous at a point x = c?

Question 6
college-boardPre-CalculusAPExam Style
1 mark

What is the base of the common logarithm?

Question 7
college-boardPre-CalculusAPExam Style
1 mark

Given f(x)=log⁡5(x−7)f(x)=\log_{5}(x-7)f(x)=log5​(x−7), for which domain value does f(x)=0f(x)=0f(x)=0 occur?

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Question 8
college-boardPre-CalculusAPExam Style
1 mark

Which term best describes a logarithmic graph that appears to get infinitely close to an axis but never touches it?

Question 9
college-boardPre-CalculusAPExam Style
1 mark

If the population of a certain bacteria culture doubles every 3 hours, which logarithmic function represents the time ttt in hours it takes for the population to reach PPP if the initial population is P0P_0P0​?

Question 10
college-boardPre-CalculusAPExam Style
1 mark

If E(X)=log⁡B(X−9)+CE(X)=\log_{B}(X-9)+CE(X)=logB​(X−9)+C Represents General Form For Set Transformed Functions Where BBB Greater Than Zero Not Equal To One How Will Parameter CCC Effect Graph?