Step 1. Find the domain of the function. Step 2. Find the x, y intercepts. Step 3. Determine if the function is even, odd or neither. Step 4. Find all the horizontal, vertical asymptote(s). Step 5. Find all the critical point(s), determine whether it's a local max, min, de- termine when the function is increasing, decreasing. Step 6. Find all the point(s) of inflection, determine when the function is concave up, concave down. By following the above procedure, sketch the graph of f(x) = -2x 3xe – arctan r if x ≥ 0 if x < 0
Step 1. Find the domain of the function. Step 2. Find the x, y intercepts. Step 3. Determine if the function is even, odd or neither. Step 4. Find all the horizontal, vertical asymptote(s). Step 5. Find all the critical point(s), determine whether it's a local max, min, de- termine when the function is increasing, decreasing. Step 6. Find all the point(s) of inflection, determine when the function is concave up, concave down. By following the above procedure, sketch the graph of f(x) = -2x 3xe – arctan r if x ≥ 0 if x < 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Step 1. Find the domain of the function.
Step 2. Find the x, y intercepts.
Step 3.
Step 4.
Step 5.
Determine if the function is even, odd or neither.
Find all the horizontal, vertical asymptote(s).
Find all the critical point(s), determine whether it's a local max, min, de-
termine when the function is increasing, decreasing.
Step 6. Find all the point(s) of inflection, determine when the function is concave
up, concave down.
By following the above procedure, sketch the graph of
3xe-2x
f(x)
arctan x
if x ≥ 0
if x < 0
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