How do you graph #f(x)=-3/(x-1)# using holes, vertical and horizontal asymptotes, x and y intercepts?
1 Answer
Holes:
Vertical Asymptote: Use the denominator. The function is undefined when the denominator is zero. At what value of
Horizontal Asymptote: Use the degrees of the numerator and denominator.
- If the degree of the numerator is less than the degree of the denominator, HA is at y=0.
- If the degree of the numerator is more than the degree of the denominator, there is no HA.
- If they are equal, divide the coefficient of
#x^(degree)# in the numerator by the coefficient of#x^(degree)# in the denominator.
x-int: The graph will pass through the x-axis when y is equal to zero.
y-int: The graph will pass through the y-axis when x is equal to zero.
Use these values to plot points, then use a table of values if extra points are needed.