How do I find the x-axis intercept? (rational functions)
Solve the numerator to get (x , 0)
How do I find the y-axis intercept? (rational functions)
Solve for y (set x to 0) to find (0 , y)
How do I find the vertical asymptote? ( rational functions)
Solve the denominator!
How do I find the horizontal asymptotes? (rational functions)
Divide the highest powers of x by each other.
If the degrees divide to be less than one, then y = 0 is an asymptote.
If they divide to equal one, then divide the coefficients and the answer is the asymptote.
How do I find the turning point? (rational functions)
Set f(x) equal to k, and set the equation equal to 0.
Then, set the discriminant of the new equation equal to zero (this means there are repeating roots, so there is a turning point).
Remember: b²- 4ac
Solve the equation of the discriminant and k equals the y coordinate of the turning point.
Solve for x using the original equation!
