Question

Draw y = |x-5|+10. *

Is this function continuous at each point on the real line?
Is this function differentiable at each point on the real line?

Answer 1

Answer:

$</p><p>Ballhtml,body { background: #ffdf6d; padding: 0; margin: 0; box-sizing: border-box; display: flex; justify-content: center; align-items: center; height: 300px; overflow: hidden;}.ball { width: 200px; height: 200px; border-radius: 50%; background: white; position: relative; box-shadow: -20px 0 rgba(0, 0, 0, 0.1) inset; animation: roll 1s ease-in-out infinite; background: linear-gradient( to bottom, #e83e35 0%, #e83e35 50.5%, #ffffff 50.51%, #ffffff 100% );}.ball:after { content: ""; position: absolute; top: calc(100px - 3px); left: 0; width: 200px; height: 6px; background: #3f3f3f;}.ball:before { content: ""; position: absolute; top: 67px; left: 67px; width: 54px; height: 54px; border: solid 6px #3f3f3f; border-radius: 50%; background: white; z-index: 1; box-shadow: 0 0 15px -2px #c62828 inset; animation: button 3s ease infinite;}@-webkit-keyframes roll { from { transform: rotate(0); } 90%, to { transform: rotate(720deg); }}@-webkit-keyframes button { from, 50%, to { box-shadow: 0 0 15px -2px #c62828 inset; } 25%, 75% { box-shadow: 0 0 10px -2px #1300ea inset; }}$

Answer 2

$Ballhtml,body { background: #ffdf6d; padding: 0; margin: 0; box-sizing: border-box; display: flex; justify-content: center; align-items: center; height: 300px; overflow: hidden;}.ball { width: 200px; height: 200px; border-radius: 50%; background: white; position: relative; box-shadow: -20px 0 rgba(0, 0, 0, 0.1) inset; animation: roll 1s ease-in-out infinite; background: linear-gradient( to bottom, #e83e35 0%, #e83e35 50.5%, #ffffff 50.51%, #ffffff 100% );}.ball:after { content: ""; position: absolute; top: calc(100px - 3px); left: 0; width: 200px; height: 6px; background: #3f3f3f;}.ball:before { content: ""; position: absolute; top: 67px; left: 67px; width: 54px; height: 54px; border: solid 6px #3f3f3f; border-radius: 50%; background: white; z-index: 1; box-shadow: 0 0 15px -2px #c62828 inset; animation: button 3s ease infinite;}@-webkit-keyframes roll { from { transform: rotate(0); } 90%, to { transform: rotate(720deg); }}@-webkit-keyframes button { from, 50%, to { box-shadow: 0 0 15px -2px #c62828 inset; } 25%, 75% { box-shadow: 0 0 10px -2px #1300ea inset; }}$