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Absolute Functions
This is absolutely
Absolute functions...
​The absolute value of a number is the distance between the number and zero on the number line, without considering direction.
Brief Notes on Absolute Value Functions and Graphs
The absolute value function is simply the distance from a number to the zero line. It is that simple.
real numbers include both rational and irrational numbers. It encompasses all possible values on the number line.
The vertex of an absolute function is the point where the value of x changes direction. So if x were decreasing, once it passes the vertex it is now increasing.
what is to real number sir?
rational and irrational numb e r s
The domain of numbers is all the numbers that we are able to plug into a chosen function. You will have all real numbers as your domain typically.
what are rations sir?
rational numbers can be expressed as a fraction of two integers, where the denominator is not zero. This includes all integers and fractions: -1, -1/2, 0, 1/3, 2, ...
The range of a function, to begin with, normally is
[0, ∞) or
(∞, 0] or
(∞, ∞) or
​
irrational numbers cannot be expressed as a fraction of two integers. They have non-repeating, non-terminating decimal expansions. Examples include the square root of 2 (√2), π (pi), and e (Euler's number).
yummy pi
Which is nothing more than a fancy way of saying something simple. This is all about denominators. If you do not have a variable denominator you can call is all Real numbers. The positives and negatives will vary according to situation. I say situation because the majority of these math problems are word problems. /yum
Just because I earn an A, does not mean this is not boring.
