Copyright
NDA Exam Preparation & Study Guide  /  General Courses

Test Prep Plan - Take a practice test

Take this practice test to check your existing knowledge of the course material. We'll review your answers and create a Test Prep Plan for you based on your results.
How Test Prep Plans work
1
Answer 50 questions
Test your existing knowledge.
2
View your test results
Based on your results, we'll create a customized Test Prep Plan just for you!
3
Study smarter
Study more effectively: skip concepts you already know and focus on what you still need to learn.

Functions, Limits & Continuity 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 are the regions of continuity for y defined as?

Question 2 2. Which of the following functions is continuous for every value of x except x=0?

Question 3 3. Which of the following is an exponential function?

Question 4 4. In an exponential function, the exponent is which one of the following?

Question 5 5. What is the inverse function of f(x) = x/8 + x + 2?

Page 2

Question 6 6. For a function f(x), what is f - 1 (3 * f(x))?

Question 7 7. Which of the following continuous functions will have at least one solution to the following equation?

Question 8 8. The intermediate value theory describes a function that _____.

Question 9 9. Find the domain of f(x)/g(x), if:

Question 10 10.

Find the inverse of the following function:

f(x) = 2x + 1

Page 3

Question 11 11. The graph of y = (1 + x)^2 will lie in which quadrants?

Question 12 12. The graph of y = x - 2 will pass through which quadrants?

Question 13 13.

Which of the following functions are discontinuous?

I) f(x) = x^2 + 1 when x < 0 and f(x) = x + 1 when x ≥ 0

II) f(x) = x when x < 0, f(x) = 1 when x = 0, and f(x) = -x when x > 0

III) f(x) = 2

Question 14 14. How many discontinuities are in the function f(x) = (1 - x)/[(3 - x)(2 - x)]?

Question 15 15. Let u=cosh(x) and y=sinh(x). Which of the following is true?

Page 4

Question 16 16. Which of the following is not a hyperbolic function?

Question 17 17. What is the limit of f(x) = sin(x) as x approaches 0?

Question 18 18. The limit of f(x) = x^2 * log (x) for x>=0 is 0 for how many values of x?

Question 19 19. The amount of money you spend on coffees every month can be calculated as a function of the number of drinks you order every month. What are the independent and dependent variables in this function?

Question 20 20. Evaluate f(x) = √(x), when x = 9.

Page 5

Question 21 21. What is f(g(2)) if g(x) = x^2 and f(x) = x^3?

Question 22 22.

If f(x) = x^2 and g(x) = x + 1, what is f(g(x))?

Hint: For every x in f(x) put in g(x)

Question 23 23. Which of the following is true?

Question 24 24. Use the graph to solve for z.

Question 25 25. Rewrite the following in its inverse form.

Page 6

Question 26 26. What is the inverse function?

Question 27 27. What are the regions of continuity given the following?

Question 28 28. Which equation represents a pattern that starts at 6 and is multiplied by 4 each step?

Question 29 29. What is g(f(x)) if f(x) = g-1 (x)?

Question 30 30.

Given y below and the intermediate value theorem, how many times will y = 0 between x = 0 and x = π?

(Hint: Work in radians since one of the parameters for x is π.)

Functions, Limits & Continuity 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!

Support