Functions. A function is a relation that has exactly one output for each input.

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Presentation transcript:

Functions

A function is a relation that has exactly one output for each input

Functions A function is a relation that has exactly one output for each input Input - x variable, independent variable, the domain

Functions A function is a relation that has exactly one output for each input Input - x variable, independent variable, the domain output – y variable, dependent variable, the range

Functions Make an input-output table (t-chart) for a function rule (equation in two variables) by plugging in an input and finding the output

Functions Make an input-output table (t-chart) for a function rule (equation in two variables) by plugging in an input and finding the output You can also use the input-output table to find the function rule (equation)

Functions Check whether an ordered pair is a solution by plugging in both numbers and checking to see if it makes a true statement

Functions Check whether an ordered pair is a solution by plugging in both numbers and checking to see if it makes a true statement Write an equation in function form by solving for y

Functions A linear equation in two variables has the two variables in separate terms with each variable occurring only to the first power

Functions A linear equation in two variables has the two variables in separate terms with each variable occurring only to the first power Graph a linear equation by plotting the ordered pairs (input and output values) on a coordinate plane and drawing a line through them

Functions A linear equation in two variables has the two variables in separate terms with each variable occurring only to the first power Graph a linear equation by plotting the ordered pairs (input and output values) on a coordinate plane and drawing a line through them The graph of x=-2 is the vertical line through (-2,0)

Functions A linear equation in two variables has the two variables in separate terms with each variable occurring only to the first power Graph a linear equation by plotting the ordered pairs (input and output values) on a coordinate plane and drawing a line through them The graph of x=-2 is the vertical line through (-2,0) The graph of y=4 is the horizontal line through (0,4)