- this bright light in the middle of the photo is the "line" that separate the first and second quadrant. the y-axis.(Vertical line)
- this right side part of the photo is the graph of y=b^x, where b (the base) is greater than 1. for example
y= 8^x. all graphs of exponential function that has b>1 will start low and gets higher from left (quadrant 2) to right (quadrant 1). - this is the Horizontal Asymtote, where the graph never touches the line but can get really really close.
- this left side part of the photo is the graph of y=b^x. where b (the base) is between 0 and 1. for example:
y=(1/8)^x. all exponential function graphs that has b (base) between 0 and 1 will always start HIGH and gets LOWER from LEFT to RIGHT - the graphs will be wider when the base is lower and the graph will be steeper when the base is higher. example y=2^x will be wider than y=8^x. y=8^x will be steeper than y=2^x.
- to find the inverse function or the log graph of this exponential graph (y=8^x), change all of the points on the x-axis into y-axis and change the value of y-axis into the value of x-axis example (0,1)--(1,0). its like turning everything 90 degrees to the right. log graph now have vertical asymtote.
exponential function
ruschev~
- Logarithms are the inverse function of exponential functions.
- LOGARTHMS ARE EXPONENTIALS
- all exponential graphs have a horizontal asymtote.
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