The graphs of exponential and logarithmic functions by Mariel Atregenio https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq G12 IBDP MAA (September 15, 2021) en-us 2021-09-14 23:19:38 UTC 2025-12-23 00:34:55 UTC hello@padlet.com https://padlet.net/icons/png/1f9e9.png Collaborative Task (25 min) - Group 1 iteachmathsmariela https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1740931739 1.  As a group, create a mind map providing the following information: 
  • the properties and features of graphs of exponential functions,
  • why b is only positive in an exponential function y = b^x,
  • the properties and features of graphs of logarithmic functions, 
  • the difference between the logarithmic and square-root functions.

Click this link above to access your notes.

2.  Using GeoGebra, graph in the same grid each group of functions:
  •   y = 10^x, y = log x and y = x,
  •   y = e^x, y = ln x and y = x. 
Upload a screenshot of your work in the provided space.
What do you notice with each pair of graphs?
What is true for the functions y = 10^x and y = log x, and y = e^x and y = ln x? 
Write a generalization about y = a^x and y = log to the base a of x. 

]]> 2021-09-14 23:47:36 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1740931739 Exponential Functions iteachmathsmariela https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1740932275 2021-09-14 23:47:59 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1740932275 Logarithmic functions iteachmathsmariela https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1740932598 2021-09-14 23:48:12 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1740932598 The graphs of y = a to the x, and y = log to the base a of x iteachmathsmariela https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741098023 2021-09-15 01:02:45 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741098023 Features (of the Graphs) jacobfrio https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741467333 2021-09-15 03:20:20 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741467333 Properties krosscuraming https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741470796 2021-09-15 03:21:41 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741470796 y=10^x, y=log(x), y=x hermesreyes https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741471201 The graphs of y=10^x and y=log(x) are reflections of each other.  They reflect on opposite sides of y=x. ]]> 2021-09-15 03:21:51 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741471201 y=e^x, y=ln(x), y=x hermesreyes https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741472296 The graphs of y=e^x and y=ln(x) are reflections of each other. They reflect on opposite sides of y=x.]]> 2021-09-15 03:22:18 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741472296 Rate of Change jacobfrio https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741477743 The rate at which an exponential graph increases/decreases changes as x increases (or decreases)]]> 2021-09-15 03:24:35 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741477743 (0,1) will always be a point on a exponential function in the form of y = b^x krosscuraming https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741478515 because b is positive, any number raised to 0 will result to 1]]> 2021-09-15 03:24:55 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741478515 Difference Between logarithmic and Square-root functions antoniosarmiento https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741480622 When graphed, the logarithmic function is similar in shape to square root functions, but has a vertical asymptote when
x approaches 0 from the right.

]]> 2021-09-15 03:25:48 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741480622 (0,1) will always be a point on a exponential function in the form of y = b^x krosscuraming https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741482906 because b is positive, it will result to 1 when it is raised to 1]]> 2021-09-15 03:26:48 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741482906 The domain of the function is all positive numbers. That means that that value of the function will always be positive. antoniosarmiento https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741484245 This is because]]> 2021-09-15 03:27:23 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741484245 You're doing a great job here, Group 1! Keep it up! :) iteachmathsmariela https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741486217 2021-09-15 03:28:14 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741486217 hermesreyes https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741493338 y=a^x will be a reflection and is an inverse of y=log of x to the base a]]> 2021-09-15 03:31:24 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741493338 y=b^x takes on only positive values krosscuraming https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741496755 any positive value will only result to a positive value when raised to any power]]> 2021-09-15 03:32:54 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741496755 Asymptote jacobfrio https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741499404 2021-09-15 03:34:03 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741499404 hermesreyes https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741499807 2021-09-15 03:34:13 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741499807 the horizontal asymptote of y=b^x will always be the x-axis krosscuraming https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741503466 2021-09-15 03:35:48 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741503466 iteachmathsmariela https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741533584 Good job, Group 1!]]> 2021-09-15 03:48:51 UTC https://padlet.com/iteachmathsmariela/58zgzqvctcp3tsq/wish/1741533584