Functions Range Domain Coordinate Notation A relation is

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Functions, Range & Domain

Functions, Range & Domain

Coordinate Notation • A relation is a set of ordered pairs (x, y). •

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)

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

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

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

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

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 lines Go straight up And down BACK

Vertical Line Test To visually tell if a line is a function, or not,

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,

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

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

Function Notation BACK