Alg. Ii Notes Dec. 4
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lines that graphs approach w/o intersecting
• equation of form x = a (a is a real number)
• occur where domain x ≠ a • ex: x ≠ 3
V.A.
• Step 1: Find domain (denominator = 0?) x - 5 = 0
x = 5
domain: x ≠5
V.A. at x = 5
• Step 2: Find zeros (numerator = 0) x = 0
x-intercept at 0
• Step 3: Use table to plot points on both sides of V.A.
x
y
Note: Not all rational functions have an asymptote/zero.
#15, 79 Name the asymptotes and zeros. Sketch an accurate graph. (No graphing calculator)
Nov 277:20 PM
1
• equation of form x = a (a is a real number)
• occur where domain x ≠ a • ex: x ≠ 3
V.A.
• Step 1: Find domain (denominator = 0?) x - 5 = 0
x = 5
domain: x ≠5
V.A. at x = 5
• Step 2: Find zeros (numerator = 0) x = 0
x-intercept at 0
• Step 3: Use table to plot points on both sides of V.A.
x
y
Note: Not all rational functions have an asymptote/zero.
#15, 79 Name the asymptotes and zeros. Sketch an accurate graph. (No graphing calculator)
Nov 277:20 PM
1
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