80 likes | 86 Vues
4-6 Functions and Linear Equations (pg 177-181). Standard : PFA Indicator(s): P1: Represent patterns, rules and functions with words, tables, graphs, and variable expressions. P5: Recognize linear equations by plotting points in the coordinate plane
E N D
4-6 Functions and Linear Equations (pg 177-181) Standard : PFA Indicator(s): P1: Represent patterns, rules and functions with words, tables, graphs, and variable expressions. P5: Recognize linear equations by plotting points in the coordinate plane P10: Analyze linear and non-linear relationships to show how changes in one variable results in the change of another
Vocabulary • Function- is an input/output relationship. You put a number in, perform the given function, and see what comes out. • Function table- a table that organizes the input and output for a function • Domain- the values that can go into a function (x) • Range- the values that come out of a function (y)
What is a linear equation? • A linear equation has a graph that is a straight line. • A linear equation looks like y=mx + b, where a and b are positive or negative numbers. • “m” represents the slope of the line (we will discuss this more in the next section) • “b” represents the y intercept (where the graphed line crosses the y axis)
Graphing a linear equation • Select a few values for x. • Substitute and solve for y. • Use each solution to write an ordered pair (x,y). 2 1 0 -1 (2) 5 (2,5) (1) 3 (1,3) 1 (0) (0,1) -1 (-1) (-1, -1)
Graphing a linear equation (continued) Plot the points for the (x,y) pairs. Draw a line through the points you graphed. Notice: the line crosses the y-axis at (0,1)
To which family do the following belong? y = 4x Exponential y = 3x +7 Linear y = Inverse y = 2x2 – 4 Quadratic