ADVANCED ASSIGNMENT RATIONAL FUNCTION Part 1

ADVANCED ASSIGNMENT RATIONAL FUNCTION Assignment Part 1                          

 State Standards:

Goal: Connect the letters to the special behavior of a rational function that consists of a linear numerator and linear denominator

Restrictions on this assignment:
1) You must use the integral values for the general coefficients and constants a, b, c, and d
2) a, b, c, and d are restricted to {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}

Part 1: Write a general rule for each of the following given the rational function

y intercept

x intercept

Vertical asymptote

Horizontal asymptote

Location of the hole if it exists (general x coordinate, general y coordinate)

Hint: Think about why a hole occurs!

Hint 2: Use the attached Desmos file to help investigate rational functions of this type