Rational Function

1.Use the graph of f(x) = x^2 to match the function to its corresponding graph. In words describe the transformation that occurs (ex: The graph of f(x) is shifted 6 units to the left).
 

f(x)=x2
 

Choose from the following functions:
g(x) = (x – 2)2 ; h(x) = x2 – 2 ; i(x) = (x + 3)2 ; j(x) = (x + 1)2 + 3

 

2. Find the domain of the function and express the answer in interval notation. Explain in words or show the calculations.
a) f(x) = 4×2 – 7x + 3

 

b) g(x)= x^2/x+12

 

c) f(x)=10x^2+19x-5

 

d) g(x)=15/x

 

e) f(x)= √x-15

 

Show Work or Explain in Words: 

2.Asymptotes of Rational Functions
 

a. Provide a written explanation describing a step by step process to find the horizontal asymptotes of a rational function
 

b. Provide a written explanation describing a step process to find the vertical asymptotes of a rational function