4.5 summary of curve sketching math& 151 - highline college · 2018-03-08 · 4.5 – summary...
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4.5 – Summary of Curve Sketching Math& 151 Warnock - Class Notes
Here are the Guidelines for Sketching a Curve.
A. Domain B. Intercepts C. Symmetry Even:
Odd:
Period:
D. Asymptotes
Horizontal:
Vertical:
E. Increasing/Decreasing
0 or 0f x f x
F. Local Max or Min Values
G. Concavity/Inflection Points
H. Sketch the Curve!
#1) Use the guidelines to sketch the curve 2
2
2
1
xyx
.
f x f x
f x f x
f x p f x
,
limx a
x x
f x
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#2) Sketch the graph of 2
1
xf xx
.
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#3) Sketch xf x xe .
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#4) Sketch 2cos sin2f x x x .
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#5) Sketch 2ln 4f x x
.
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Some curves have asymptotes that are ______________, neither horizontal nor vertical.
That is, lim ( ) 0x
f x mx b
.
This line, y mx b , is called a ___________ _________________________
which we will use __________ _____________________ to find.
#6) Sketch the graph of 3
2 1xf x
x
.