Introduction to functions.
Domain and range
Domain
domain refers to the possible inputs values on the x-axis
Range
range refers to the possible inputs on the y-axis
![](https://www.onlinemathlearning.com/image-files/xdomain-range.png.pagespeed.ic.bpVOZ3SjLY.png)
function notation
The way a function is written
![](https://www.onlinemathlearning.com/image-files/function-notation.png)
to evaluate function notation you must substitute the input for the function's variable. (replace x with the given number).
Ex. f (x) = 3x - 5, find f (4). You would substitute x for 4 and the equation would end up looking like f(4)=3(4)-5.
Sinusoidal Functions
to evaluate a sinusoidal function you must use the equation y = a sin (bx+c).
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![Subtopic](https://mathbitsnotebook.com/Algebra2/TrigGraphs/sinpicture.jpg)
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Quadratic
![Subtopic](https://i.dailymail.co.uk/1s/2019/12/10/00/22027922-0-image-a-4_1575939056494.jpg)
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Ex. 2^2 + 5x − 3 = 0
relations
set of input and output numbers that are similar/relation
Example.
Exponential Functions
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intro to exponential functions
exponential functions graph
f(x) = b^x. b is the base while x is the exponent.
example. f(x) = 3^x
A way you can figure out a problem is by using a table to solve for x,
![Subtopic](https://mathbitsnotebook.com/Algebra2/Exponential/testtableex1.jpg)
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