DETAILS 7. [-/1 Points] Math 110 Course Resources - Limits & Continuity Course Packet on continuity x2 - 9 if x # 3 Let f(x) =3 x-3 kx - 15 if x = 3 Determine the value of k that will make f(x) continuous everywhere. K = 8. [-/1 Points] DETAILS SEP 14 esc F1 F2 20 F3 F4 F5 F6 @ LA > W # % N 5 Q W E DDETAILS 8. [-/1 Points] Math 110 Course Resources - Limits & Continuity Course Packet on continuity 3x + 2 if x 5 -4 Let f ( x ) = (kX 2 if x > - 4 Determine the value of k that will make f(x) continuous everywhere. K = SEP 14 esc o: F1 F2 20 F3 000 F4 F5 F6 a N % VK = 9. [-/1 Points] DETAILS MY N Math 110 Course Resources - Limits & Continuity Course Packet on continuity Consider the function f(x) = 5X - 8 x2 + 5x - 14 Determine the number of discontinuities of f(x). Determine the values of x at which f(x) has a discontinuity. Enter your answer as a comma-separated list of values. The order of the values does not matter. Enter DNE if f(x) does not have any discontinuities. OE esc 19: F1 29- F2 20 F3 888 FA - F6 44 F7 1I FB F10 F11 45)) F12 tA % & W# N 6 delet Q W U O P A S D G H K ". .. X C B N M option command command option10. [-/1 Points] DETAILS MY Math 110 Course Resources - Limits & Continuity Course Packet on continuity Consider the function f(x) = * + 5x x3 - 25x Determine the number of discontinuities of f(x). Determine the values of x at which f(x) has a discontinuity. Enter your answer as a comma-separated list of values. The order of the values does not matter. Enter DNE if f(x does not have any discontinuities. 11. [-/1 Points] DETAILS MY NOTES 14 esc 19" F1 20 F3 888 F :: F5 -- F6 44 F7 II FB F10 W# O dele W E R O P 4 S D F G H K lock Z X C B N M alt 96 ntrol option command command optionMY 11. [-/1 Points] DETAILS Math 110 Course Resources Limits & Continuity Course Packet on continuity Consider the function f(x) = x" - 2x2 + 9x x3 + 4x Determine the number of discontinuities of f(x). Determine the values of x at which f(x) has a discontinuity. Enter your answer as a comma-separated list of values. The order of the values does not matter. Enter DNE if f(x) does not have any discontinuities. MY NOTES 12. [0.16/1 Points] DETAILS PREVIOUS ANSWERS 14 40)) F12 esc F2 20 898 FA - F6 4 F7 II FB F9 F10 % Wo # 6 O delete N Q W E R T Y U O P ab ente S D F G H K ". .. A retur lock Z X C B N M alt alt 96 ntrol option command command optionPREVIOUS ANSWERS 12. [0.16/1 Points] DETAILS Math 110 Course Resources - Limits & Continuity Course Packet on continuity Determine whether each statement is true or false. You have one submission for each statement. (a) All rational functions are continuous on their domain. OTrue OFalse x - 5 (b) The function f(x) = x - 25 is continuous at x - 5. OTrue OFalse (c) If f(x) is defined at x = a, then f(x) is also continuous at x = a. OTrue OFalse (d) If f(x) is continuous at x = a, then x = a is in the domain of f(x). OTrue OFalse (e) If f(x) and g(x) are continuous at x = a, then f(x)g(x) is also continuous at x = a. OTrue OFalse (f) If f(x) and g(x) are continuous at x = a, then is also continuous at x = a. 9 ( x ) OTrue OFalse SEP 14 esc FI F2 20 F3 F4 44 F5 F6 F7 F8 @ % & 2 3 4 5 V 8 Q W E R T Y U A SC a webassign.net/web/Student/Assignme 13. [-/1 Points] DETAILS Math 110 Course Resources - Limits & Continuity Course Packet on limits Determine whether each statement is true or false. You have one submission for each statement. (a) For every function f(x), if lim f(x) does not exist, then lim f(x) does not exist. x - a x - at OTrue OFalse (b) For every function f(x), if lim f(x) exists, then lim f(x) exists. x -a x - a OTrue OFalse (c) For every function f(x), if lim f(x) exists, then lim f(x) also exists. x - at x - a OTrue OFalse (d) For every function f(x), if lim f(x) and lim f(x) both exist, then lim f(x) also exists. x - a x - at OTrue OFalse (e) For every function f(x), if lim f(x) does not exist, then lim f(x) does not exist. x - a OTrue OFalse (f) For every function f(x), if lim f(x) does not exist, then lim f(x) does not exist. x - a x - at OTrue OFalse SEP 14 esc FI F2 20 F3 F4 F5 F6 F7 LA % A 2 3 4 5 6 8