Models of Variation and Growth

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Models of Variation and Growth
By Ryan Okenfuss Owensville High School
Gen obj. 2 The student will analyze and
evaluate models of variation and growth
2A Analyze graphs of functions (growth, decay,
range and domain) 2B Create an equation of a
line in slope intercept form given two points.
Concept map for this lesson.
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Functions and Graphs
Linear- a graph that is a constant straight line
Nonlinear- a graph that is not a straight line
Decreasing- a graph that slopes down. As you
move farther to the right on the x-axis, the
values of the y-axis decrease
Increasing- a graph that slopes up. As you move
farther to the right on the x-axis, the values of
the y-axis increase
Constant- a linear graph that does not increase
or decrease
Click here.
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Domain- all the possible values of the control
variable. (all possible values of x.
Range- all possible values of the dependent
variable (all possible values of y.
A function is a 1 to 1 mapping from the domain to
the range.
Any equation is a function as long as there is
one and only one answer (y) for each value of x.
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Slope intercept form
Mathematical models- functions, tables, graphs,
equations and inequalities that describe a
situation.
ex This equation sets the maximum target heart
rate during exercise. h -0.8a 176 a- age in
years h- beats per minute
Linear function- any function that has a graph
that is a line
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Intercept- place where the graph of a function
crosses an axis
Slope- tells us how much the graph of a linear
function is slanted. -the farther the value
of the slope is from zero, the steeper the
graph -if the slope is positive, the
function is increasing -when the slope is
negative, the functions is decreasing
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Go here to find the slope of a line
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The slope intercept form of a line is y mxb.
Where m is the slope of the line and b is the
value of the y-intercept.
Time to practice!