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NES Math: Continuity of Functions 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 type of discontinuity is in the graph of f(x) = 1/(x+2)?

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

Question 3 3. What are the regions of continuity given the following?

Question 4 4. What are the regions of continuity for y defined as?

Question 5 5.

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

Page 2

Question 6 6. What type of discontinuity is in the graph of f(x) = {2 for x < 0; x+2 for x >= 0}?

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

Question 8 8.

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

Question 10 10. How many discontinuities are in this function?

Page 3

Question 11 11. How many discontinuities are in the function f(x), where f(x) = -1 when x < -1, and f(x) = x for values of x ≥ -1?

Question 12 12. Which of the following functions is continuous for every value of x except x=0?

Question 13 13. What type of discontinuity is in the graph of f(x) = {x for x<-1; x+1 for x>=-1}?

Question 14 14. What type of discontinuity is in the graph of f(x) = x/((x+1)(x-3))?

Question 15 15. What are the regions of continuity in the graph of f(x) below?

NES Math: Continuity of Functions 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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