Functions Range Domain Coordinate Notation A relation is
- Slides: 15
Functions, Range & Domain
Coordinate Notation • A relation is a set of ordered pairs (x, y). • The Domain is the set of all the first coordinates, or X coordinates. • The Range is the set of all second coordinates, or Y Coordinates BACK
Express as Ordered Pair X Y (-1, -1) -2 -4 -1 -1 (2, 4) 2 4 (-2, -4) BACK
Example: State the Domain: -2, State the Range: -1, 2 -4, -1, 4 BACK
Express as Ordered Pair (1, 3) (0, 6) (2, 0) BACK
Inverse of Ordered Pair. For every order pair (a, b), there is an inverse (b, a). Example: Find the inverse of (-4, 5). (5, -4) Find the inverse of (2, -3). (-3, 2) BACK
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FUNCTIONS AND RELATIONS A function is a relation in which no two ordered pairs have the same x-value. (1, 2), (1, - 2), (2, 5), (3, 4) is not a function, since 1 was used twice. (1, 1), (2, 3), (3, 5), (4, 6) is a function since no X coordinate was repeated. BACK
Vertical lines Go straight up And down BACK
Vertical Line Test To visually tell if a line is a function, or not, you can draw vertical lines through a figure. If the vertical lines pass through the figure more than one time it is not a function. Yes! Function No, Not a Function. BACK
If a vertical line intersects the graph of an equation more than one time, the equation graphed is NOT a function. This is a function This is NOT a function This is a function
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We commonly call functions by letters. Because function starts with f, it is a commonly used letter to refer to functions. This means the right hand side is a function called f This means the right hand side has the variable x in it The left side DOES NOT MEAN f times x like parenthesis usually do, it simply tells us what is on the right hand side. The left hand side of this equation is the function notation. It tells us two things. We called the function f and the variable in the function is x.
Function Notation BACK
- Domain, codomain, range
- What is the domain of the relation?
- Is this a function?
- Domain and range of each relation
- Domain and range ordered pairs
- Interval notation domain and range
- Domain and range of tangent
- Domain and range of trigonometric functions
- Composite functions domain and range
- Function domain and range review
- Warm up domain range and functions worksheet answers
- What is the domain and range of the function
- Arctan arcsin
- Pre and post coordinate indexing system
- Co covalent bond
- Coordinate notation