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Warm-UpBamboo can grow very
quickly. The graph models the growth of a bamboo plant. Find the point where the line
crosses the vertical axis. What does this point tell you about the bamboo plant?
Find the slope of the line. What does the slope tell you about the bamboo plant?
Families of FunctionsA family of functions is a group of functions
with common characteristics
A parent function is the simplest function with these characteristics
Linear FunctionsThe linear family of functions is the group of
functions whose are a line
One way to write the equation of a linear function is using slope intercept form
bmxy
ExamplesFind the slope and y-intercept of the lines
represented by the equations belowy= -2x+1y= -x +3y= x+6y= 3 - 0.1xy=4-5x+y=04x+3y=9
Graphing a linear line given the equation1. Use the equation to identify the slope (m)2. Use the equation to identify the y-intercept
(b)3. Start at the y-intercept and graph the
following points using the slope.