Theory |
by Example Series Rational Functions |
Question 1 - Find the Domain and Range of the following rational function:
(a)
(a) , So zeros are x = -½ and x = 2, y-intercept is -2
Sketch looks like: Domain:
Range: y > 0 and
Question 2. Sketch the following function and clearly state all y-intercept,
x-intercepts,
vertical and horizontal asymptotes:
Can be written as:
So vertical asymptotes at x = -3 and x = +3 (when denominator = 0)
There is a horizontal asymptote at y = 2
Zeros at x= -1 and x = +1 (when numerator = 0)
y-intercept at (0, 0.2), or when x = 0 y =