17

Question 17 & 0/1pt D100 29 @ Details L_if r 4 Compute the quantities below. Write "DNE" if the limit does not exist or the value is undefined. s = o= Since the above three quantities are , we know that f is at T = 4. List ALL numbers at which f is discontinuous. Be sure to check the functions defined to the left and right of @ Question 18 & 0/1 pt D100 29 ( br+6 if xz4 2 if =4 Determine whether f(x) is continuous at z = 4. If f(x) is not continuous, identify why. O Not continuous: lini f(z) # f(4). Tr O Not continuous: lim f(z) does not exist. x4 O Not continuous: f(4) is undefined. (O The function is continuous at x = 4. @ Question 19 4 0/1 pt O 100 2 29 Det a) Is the function f(z) = (z 7)(x + 12) continuous at = 12? O Yes it is continuous O No it is not continuous b) Select all of the options below that are true. () No rules are violated, the function is continuous. (J The function is not defined at = 12. (] The limit does not exist. (] The value of the limit does not equal the value of the function at -12 @ Question 20 & 0/1pt 100 229 O Details 8zz2 if 3 et f(o) = { Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(z)= 3~ o i f0= | Determine whether f(z) is continuous at & = 3. If f(x) is not continuous, identify why. O Continuous at z = 3. O Not Continuous at = 3: f(a) is not defined. O Not Continuous at = 3: lim f(z) does not exist. z3 O Not Continuous at z = 3: f(a) ;lin f(z). z What type of discontinuity does f(z) have at z = 3? O f(x) has a jump discontinuity at z = 3. O f(z) has an infinite discontinuity at = 3. O Continuous at z = 3. O f(x) has a removable discontinuity at = 3. @ Question 21 o/1pt D100 S29 G The graph below is the function f(z) N W R Uy 54 -3 -2 -1 1 2 3 4 35 1 -2 -3 4 -5 Determine which one of the following rules for continuity is violated first at x = 2. O f(a) is defined. Olim f(z) exists. ra Olim f(z) = f(a). @ Question 22 5r+14 if -2 2 if z2=-2 Select all statements below that you agree with. Note: You may be checking more than one box. No partial credit. L) f(2) is defined. (] lim (z) exists. z-2 U lim f(z) = f(2). z2 () The function is continuous at x = -2. (] The function is not continuous at x = -2. [ 0/1pt O 100 2 2 @ Question 23 (4 0/1 pt O 100 & Ltf() 3z+10 if z1 Determine whether f(x) is continuous at = 1. If f(x) is not continuous, identify why. O Not continuous: f(1) is undefined. O Not continuous: lin% f(z) # f(1). T O Not continuous: lim f(x) does not exist. z1 O The function is continuous at = 1. @ Question 24 & o0/1pt D100 S 29 @ Details On what domain is the function f(z) = 7z% + x 8 continuous? Express your answer in interval notation