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please help me answer these two activities SUBJECT: BASIC CALCULUS LESSON: CONTINUITY OF A FUNCTION ACTIVITY 1: Identify whether the following functions are continuous or
please help me answer these two activities
SUBJECT: BASIC CALCULUS
LESSON: CONTINUITY OF A FUNCTION
ACTIVITY 1:
Identify whether the following functions are continuous or not. Write your solutions on a separate sheet of paper. 1. f(x) = 2x - 3 7. f(x) = 23+7x+ 12 x+3 2. f (x) = -3x +4 3. f(x) = x2 - 5x - 4. 8. f (x) = x2-7x+10 x-5 4. f (x) = x2 - 4x 9. f (x) = -x-2 x+2 5. f(x) = 2x3 + 4x -3 10. f (x) = al-2r-15 6. f (x) ="++2x-3 x-5 x-1Answer the following questions. Show all possible solutions on a separate sheet of paper. 1. Determine whether the function x) = x2 + I51: + 9 is continuous at I = 2. Sketch its graph illustrating its continuity or discontinuity. Solution: Step 1: Evaluate the function f(x) = x2 + 6x + 9 at x = 2 Step 2:Finri li1n[.1c2 +6x + 9) =_ 112 Step 3: What did you observe between the values of f(-2) and lim x) ? xiZ Conclusion: Illustrate the graphStep by Step Solution
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