1) Function: x+1 2x²+5x-3 Graphing Rational Functions Template - HW 1. Find all vertical asymptotes of f(x): x = -3, 1-1/2 2. Find any horizontal asymptotes or oblique asymptotes of f(x) Y=0 3. Find the y-intercept if it exists 4. Find the x-intercept(s) if any (0-1) Intervals: Test Points: Above or Below: (-1,0) 5. Determine if the graph intersects the horizontal/oblique asymptote 6. Choose an x-value in each domain interval determined by the vertical asymptotes and x- intercepts. Plot selected points as necessary. 7. Complete the sketch. -B-2 4 3 2 ENINS + 2 3 2 3 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1) Function:
x+1
2x²+5x-3
Graphing Rational Functions Template - HW
1. Find all vertical asymptotes of f(x):
x = -3, 2
2. Find any horizontal asymptotes or oblique asymptotes of f(x)
Y = 0
3. Find the y-intercept if it exists
(50)
4. Find the x-intercept(s) if any
Intervals:
Test Points:
Above or Below:
(0₁-3)
(-1,0)
5. Determine if the graph intersects the horizontal/oblique asymptote
6. Choose an x-value in each domain interval determined by the vertical asymptotes and x-
intercepts. Plot selected points as necessary.
7. Complete the sketch.
19
3 -2
3
2
Bring 10-
2
3
4+
E
2 3 4
Transcribed Image Text:1) Function: x+1 2x²+5x-3 Graphing Rational Functions Template - HW 1. Find all vertical asymptotes of f(x): x = -3, 2 2. Find any horizontal asymptotes or oblique asymptotes of f(x) Y = 0 3. Find the y-intercept if it exists (50) 4. Find the x-intercept(s) if any Intervals: Test Points: Above or Below: (0₁-3) (-1,0) 5. Determine if the graph intersects the horizontal/oblique asymptote 6. Choose an x-value in each domain interval determined by the vertical asymptotes and x- intercepts. Plot selected points as necessary. 7. Complete the sketch. 19 3 -2 3 2 Bring 10- 2 3 4+ E 2 3 4
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