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Functions
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)