Unformatted text preview: Solving Equations
Graphically
Graphically
Section 2.1 Intersection Method
Intersection
1. Graph y1 = f ( x) and y2 = g ( x) on the
Graph
same screen. 2. Find the xcoordinate of each point
2. Find
of intersection.
of Zeros, xintercepts, solutions,
roots
roots
If r is a real number and any one of the
following statements are true, then all are
true.
true. r is a zero of the function f.
zero r is an xintercept of the graph of f.
f. x = r is a solution, or root, of the equation
solution or root of
f(x) = 0.
f(x) Xintercept Method
Xintercept
1. Write the equation in the equivalent form
Write
f(x) = 0.
f(x)
2. Graph y = f(x).
Graph
f(x).
3. Find the xintercepts of the graph. The xFind
intercepts
iintercepts of the graph are the real
ntercepts
solutions of the equation.
solutions Joke Time
Joke What is Beethoven doing in
What
his grave?
his
Decomposing Why does a lobster never
share?
share?
Because it’s shellfish! ...
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 Winter '11
 stuff
 Calculus, Equations, Beethoven, Quadratic equation, Complex number

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