# Tutorial exercise for what value of the constant c is

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Tutorial Exercise For what value of the constant c is the function f continuous on ( , )? Step 1 Note that f is continuous on ( , 4 ) and ( 4 , ). For the function to be continuous on ( , ), we need to ensure that as x approaches 4 , the left and right limits match. First we find the left limit. Next, we find the right limit. Step 2 Now we need to find of the constant c for which the left and right limits are equal. Comparing the two limits and solving for c , we have You have now completed the Master It. f ( x ) = cx 2 + 5 x if x < 4 x 3 cx if x 4 f ( x ) = ( cx 2 + 5 x ) = \$\$16 c +20 lim x 4 lim x 4 f ( x ) = ( x 3 cx ) = \$\$64 4 c lim x 4 + lim x 4 + 16 c + 20 = 64 4 c 20 c = 44 44 c = 11/5 11/5 .
11/26/17, 7(09 PM Module 2 - Assignment: WebAssign Homework 18. 6/6 points | Previous Answers SCalcET8 2.5.049. Which of the following functions f has a removable discontinuity at a ? If the discontinuity is removable, find a function g that agrees with f for x a and is continuous at a . (If an answer does not exist, enter DNE.) 6 ).) 1 6
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11/26/17, 7(09 PM Module 2 - Assignment: WebAssign Homework 19. 4/4 points | Previous Answers SCalcET8 2.5.055. Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval.
Page 15 of 20 21. 1/1 points | Previous Answers SCalcET8 2.6.007. Sketch the graph of an example of a function that satisfies all of the given conditions.
20. 9/9 points | Previous Answers SCalcET8 2.5.065. A function f is continuous at a if and only if Prove that cosine is a continuous function.
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