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NES Essential Academic Skills Math: 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!

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Question 1 1. I have a function where f(1) = 0 and f(4) = 3. Why might there not be an x between 1 and 4 such that f(x) = 1?

Question 2 2. Which of the following continuous functions will have at least one solution to the following equation?

Question 3 3. What type of discontinuity is in the graph of f(x) = {2 for x < 0; x+2 for x >= 0}?

Question 4 4. How many discontinuities are in the function f(x), where f(x) = -1 when x is less than -1, and f(x) = x for values of x>=-1?

Question 5 5. According to the intermediate value theorem, if you have a function where f(4) = 5 and f(6) = 3, there will be at least one point x between 4 and 6 where f(x) = 4.

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Question 6 6. What are the regions of continuity in this graph of f(x)?

Question 7 7. What are the regions of continuity in the graph of f(x) below?

Question 8 8. What type of discontinuity is in the graph of f(x) = {x for x<-1; x+1 for x>=-1}?

Question 9 9. Which of the following functions is continuous for every value of x except x=0?

Question 10 10. Given the function below, in what region will f(x) = 0?

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Question 11 11. What are the regions of continuity given the following?

Question 12 12.

Which of the following functions are continuous?

I) f(x) = 1/(x-1),

II) f(x) = abs(x)-x,

III) f(x) = x^2/2

Question 13 13. What type of discontinuity is in the graph of f(x) = x/((x+1)(x-3))?

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

Question 15 15. What type of discontinuity is in the graph of f(x) = 1/(x+2)?

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Question 16 16. How many discontinuities are in this function?

Question 17 17. Given y below and the intermediate value theorem, how many times will y = 0 between x = 0 and x = π?

Question 18 18. What are the regions of continuity for y defined as?

Question 19 19.

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 20 20. What type of discontinuity is in the graph of f(x) = {x for x<3; 0 for x=3; and x for x>3}?

NES Essential Academic Skills Math: 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!

NES Essential Academic Skills Mathematics Subtest 3 (003): Practice & Study Guide  /  Math Courses
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