AP Calculus AB & BC: Help and Review Final Exam

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Question 1 1. The graph shown is an example of a function that:

Question 2 2. Find the derivative of f(x).

Question 3 3. Find the domain of f(x)/g(x), if:

Question 4 4. The ceiling function is graphically translated as a stepwise function. What is the limit of f(x) = ceil(x) as x approaches 4.5?

Question 5 5. What is the rule for the nth term of the sequence with a7 = 53 and a13 = 101?

Question 6 6. When the graph of f(x - 1) + 3 is changed into the graph of f(x + 1) + 3, the graph will shift in which direction?

Question 7 7. Where is f(x) differentiable?

Question 8 8. What is the equation of how L changes as a function of how x changes if h=6?

Question 9 9. Simplify using only positive exponents.

Question 10 10. If h equals 3 m, and x is moving at a rate of 3 m / second, how fast is L changing when x equals 4m?

Question 11 11. What is the global minimum for the function f(x) = sin((pi)x) between x = 0 and x = 2?

Question 12 12.

Which of the following are rates of change?

a) the acceleration of an object

b) the position of an object

c) the velocity of an object

Question 13 13. Simplify the following expression using positive exponents.

Question 14 14.

Use f(x) and g(x) to find f(x) * g(x).

f(x) = -x + 5 and g(x) = 3x + 2

Question 15 15. Given a velocity v(t) as defined below and a starting position of x=1 at t=0, what is the equation for your position as a function of time?

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AP Calculus AB & BC: Help and Review Final Free Practice Test Instructions

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!

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