FTCE Mathematics 6-12 (026): Practice & Study Guide  /  Math Courses

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FTCE Math: Graphing Derivatives Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

Page 1

Question 1 1. What is the slope of a line normal to f(x)?

Question 2 2. The derivative of the following graph is _____ at point A.

Question 3 3. The graph shown is an example of a function that:

Question 4 4. The graph shown is an example of a function that:

Question 5 5. Which of the following is a local minimum?

Page 2

Question 6 6. Which could be the graph of the derivative of the function below?

Question 7 7. Consider the function f(x) below. At x = 1 is this function concave up, concave down, or an inflection point?

Question 8 8. If a function's derivative is positive at point a, then what do we know about the function?

Question 9 9. The graph shown is an example of a function that:

Question 10 10. Which of the following BEST describes point B?

Page 3

Question 11 11. Over the region shown, point A is known as _____.

Question 12 12. Where is the global maximum for the function y=f(x) below between x=0 and x=2?

Question 13 13. What is the equation of the line normal to f(x) at the point x=1?

Question 14 14. Which of the following BEST describes point A?

Question 15 15. What is the value of x at the finite local minimum for the function f(x) = 2x^3 - 3x^2?

Page 4

Question 16 16. The derivative of the following graph is _____ at point D.

Question 17 17. What is the equation of the line tangent to f(x) at the point x=0?

Question 18 18. Which of the following BEST describes point C?

Question 19 19. What is the global minimum for the function f(x) = sin((pi)x) between x = 0 and x = 2?

Question 20 20. What is the slope of the line normal to f(x) at x=1?

Page 5

Question 21 21.

Consider the function r(s) below. At s = 1 is this function concave up, concave down, or an inflection point?

r(s) = cos2s / 4)

Question 22 22. What is the global minimum for the function y=f(x) below between x=0 and x=2?

Question 23 23. Between x=1 and x=3, the following function _____.

Question 24 24. What is value of y at the finite local maximum for the function f(x) = 2x^3 - 3x^2?

Question 25 25. Consider the function f(x) below. At x = 2 is this function concave up, concave down, or an inflection point?

Page 6

Question 26 26. What is value of y at the finite local maximum for the function y=f(x) below?

Question 27 27. Consider the function g(x) below. At x = 0 is this function concave up, concave down, or an inflection point?

Question 28 28. Where is the global maximum for the function f(x) = sin((pi)x) between x=0 and x=2?

Question 29 29. What is the global minimum for the function y=f(x) below between x=0 and x=2?

Question 30 30. What is the slope of the tangent to r(s) at s = 0?

FTCE Math: Graphing Derivatives Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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