Inverse Functions by Aisha Beck https://padlet.com/abeck50/fzcskuzq13vnptx2 Made with a warm hug en-us 2021-01-19 00:55:00 UTC 2025-10-15 10:40:06 UTC hello@padlet.com It must pass the horizontal line test: No two values of x can correspond to the same value of y https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103478082 2021-01-19 21:25:23 UTC https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103478082 it needs to pass the vertical line test so that its a function and it needs to pass the horizontal line test so that the inverse is a function lolsen1359 https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103479588 2021-01-19 21:25:56 UTC https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103479588 for any input x there is either 1 or 0 outputs, not more than 1 https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103480071 2021-01-19 21:26:07 UTC https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103480071 https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103480110 it must be one to one]]> 2021-01-19 21:26:08 UTC https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103480110 https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103481124 The reverse operation of the function must also be a function, and reflect the original graph. For example, y = x^2 has an inverse relation of y^2 = x. This reflects the original graph. However, it is not a function. If you were to keep it a function, it would simply be y = sqrt(x), but this wouldn't be the inverse of the original graph, as it would just have one side of the curve.]]> 2021-01-19 21:26:33 UTC https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103481124 each output equals one input and vice versa lolsen1359 https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103481854 2021-01-19 21:26:47 UTC https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103481854 Reflected over y=x https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103483305 2021-01-19 21:27:17 UTC https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103483305 https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103483337 reflected across y=x

]]> 2021-01-19 21:27:18 UTC https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103483337 reflected over x=y https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103483371 2021-01-19 21:27:18 UTC https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103483371 the function reflected over y = x if i remember correctly https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103483668 2021-01-19 21:27:25 UTC https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103483668 x values = y values and vise versa https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103485491 2021-01-19 21:28:06 UTC https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103485491 the x and the y values would be swapped https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103485616 2021-01-19 21:28:08 UTC https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103485616 X's and Y's would be switched https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103485917 2021-01-19 21:28:15 UTC https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103485917 Switch around x and y in f(x) and isolate y to find f^-1(x) https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103486458 2021-01-19 21:28:28 UTC https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103486458 swap x and y and solve again for y https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103486605 2021-01-19 21:28:31 UTC https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103486605 do all the steps done to x in reverse https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103486630 i.e. if the original function is x^2 + 2, then the inverse would be sqrt(x-2)]]> 2021-01-19 21:28:32 UTC https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103486630 If the chicken was aligned with the line y=x. They'd look like chicken wings. https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103488301 2021-01-19 21:29:09 UTC https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103488301 https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103488389 do all the steps in reverse]]> 2021-01-19 21:29:10 UTC https://padlet.com/abeck50/fzcskuzq13vnptx2/wish/1103488389