§0.1 Sets and Relations
... Remark. We will not get lost in set theory. We take a lot of things for granted, that we always did. For exmple, we will not prove all the stements we made at the beginning. We will not prove, each integer is a set, or π is a set or Z, R are sets. We will take them for granted. Other than that, we w ...
... Remark. We will not get lost in set theory. We take a lot of things for granted, that we always did. For exmple, we will not prove all the stements we made at the beginning. We will not prove, each integer is a set, or π is a set or Z, R are sets. We will take them for granted. Other than that, we w ...
All real numbers x
... So we have a function called f that has the variable x in it. Using function notation we could then ask the following: This means to find the function f and instead of having an x in it, put a 2 in it. So let’s take the Find f (2). function above and make brackets everywhere the x was and in its pla ...
... So we have a function called f that has the variable x in it. Using function notation we could then ask the following: This means to find the function f and instead of having an x in it, put a 2 in it. So let’s take the Find f (2). function above and make brackets everywhere the x was and in its pla ...
Functions (Domain, Range, Composition)
... Sketch a graph of the function with the following characteristics: 1. Domain: (-8,-4) and Range: (-∞,∞) 2. Domain: [-2,3) and Range: (1,5)U[7,10] ...
... Sketch a graph of the function with the following characteristics: 1. Domain: (-8,-4) and Range: (-∞,∞) 2. Domain: [-2,3) and Range: (1,5)U[7,10] ...
Lesson 3-2 Functions and Function Notation
... have real square roots, the quantity under the radical sign, x 2 must be greater than or equal to 0. Thus, x 2 0 or x 2 Therefore the domain of h is {x | x 2} or the interval [ 2, ). ...
... have real square roots, the quantity under the radical sign, x 2 must be greater than or equal to 0. Thus, x 2 0 or x 2 Therefore the domain of h is {x | x 2} or the interval [ 2, ). ...
Algebra 2 – NOTES: Function Notation Day 1
... o In other words, there is exactly one output for each input. o The x-values can’t repeat and give you two different answers for y. On a graph, it passes the vertical line test Function Notation: You use the symbol f(x) in place of y. You read f(x) as “f of x”. It does not mean f times x. For exam ...
... o In other words, there is exactly one output for each input. o The x-values can’t repeat and give you two different answers for y. On a graph, it passes the vertical line test Function Notation: You use the symbol f(x) in place of y. You read f(x) as “f of x”. It does not mean f times x. For exam ...
Markov, Chebyshev, and the Weak Law of Large Numbers
... Markov, Chebyshev, and the Weak Law of Large Numbers The Law of Large Numbers is one of the fundamental theorems of statistics. One version of this theorem, The Weak Law of Large Numbers, can be proven in a fairly straightforward manner using Chebyshev's Theorem, which is, in turn, a special case of ...
... Markov, Chebyshev, and the Weak Law of Large Numbers The Law of Large Numbers is one of the fundamental theorems of statistics. One version of this theorem, The Weak Law of Large Numbers, can be proven in a fairly straightforward manner using Chebyshev's Theorem, which is, in turn, a special case of ...
