# 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 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 13 13. Simplify the following expression using positive exponents. #### 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? 