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Ignore?
No, only want reals.
Does a graph have to have an X intercept?
To find an x intercept
Set the numerator equal to 0 and solve for x
No, but most it can have is 1.
Does a graph have to have a Y intercept?
To find a y intercept
Substitute 0 for x in denominator and solve
Domain
The ______________________ is all the possible INPUT, X, values.
Substitute x coordinate into simplified expression
To find the y coordinate of a hole
Horizontal Asymptotes
y=0 when degree of denominator > degree of numerator
Vertical Asymptotes
zeroes of denominator
To find vertical asymptotes
Set denominator equal to zero solve for x
No, but can have more than 1
Does a graph have to have a vertical asymptote?
Horizontal Asymptotes occur when
Degree of the numerator is less than the degree of the denominator
The horizontal asymptote is y=0
When the degree of the numerator is less than the degree of the denominator
The horizontal asymptote is y= ratio of leading coefficients
When the degrees of the numerator and denominator are the same
y→HA
When there is a horizontal asymptote the EB is
Slant asymptotes occur when
Degree of the numerator is one more than the degree of the denominator
Synthetic division
To find a slant asymptote
L:y→-∞ R:y→∞
When the slope is positive
L:→∞ R:y→-∞
When the slope is negative
Factor the numerator and denominator.
Step 1 of graphing rational expressions
y=0
If degreevof numerator is less than degree if denominator...