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GACE 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!

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

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

Question 4 4. What are the regions of continuity in the graph of f(x) below?

Question 5 5. What are the regions of continuity in this graph of f(x)?

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Question 6 6. What type of discontinuity is in the graph of f(x) = {x for x<-1; x+1 for x>=-1}?

Question 7 7.

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

Question 9 9. What are the regions of continuity given the following?

Question 10 10. 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?

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Question 11 11. Which of the following functions is continuous for every value of x except x=0?

Question 12 12. How many discontinuities are in this function?

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

Question 14 14.

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

GACE 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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