Exponential/ Logarithmic Functions
Exponential Functions
Table of Contents
- Exponential Functions
- Exponential Functions Anatomy
- Exponential Functions: Graphs
- logarithmic functions
- What is a Logarithm?
- Logarithmic Functions Anatomy
Exponential Functions Anatomy
Interact with the app below by dragging the TWO LARGE POINTS. Then answer the questions that follow.
Suppose you graph the [b]exponential function [br][/b][math]y=a^{\left(x-h\right)}+k[/math][br][br]What does the parameter [math]a[/math] do to the graph? How does it affect it? Explain.
Suppose you graph the [b]exponential function [/b][br][math]y=a^{\left(x-h\right)}+k[/math][br][br]How does the parameter [math]h[/math] affect the graph? Explain.
Suppose you graph the [b]exponential function [/b][br][math]y=a^{\left(x-h\right)}+k[/math][br][br]How does the parameter [math]k[/math] affect the graph? Explain.
Does the graph of the [b]exponential function[/b] ever cross [b][color=#a64d79]the dashed horizontal line[/color][/b]? [br][br]Explain how you know it does OR how you know it does not.
Quick (silent) demo
What is a Logarithm?
Move the LARGE POINT on the xAxis as far as it will go. You can drag the LARGE POINT that appears behind it anywhere you'd like.
What exactly [i]is[/i] a [b][color=#9900ff]logarithm[/color][/b]? How does/do your observation(s) support your response? Explain.
Move the LARGE POINT on the xAxis as far as it will go. You can drag the LARGE POINT that appears behind it anywhere you'd like.
What exactly [i]is[/i] a [color=#9900ff][b]natural logarithm[/b][/color]? How does/do your observation(s) support your response? Explain.