1. Use the graph off(x)= x^2to 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).

Graph of y = x^2

Choose from the following
functions:

g(x) = (x – 2)^2, h(x) = x^2 – 2,
i(x) = (x + 3)^2, j(x) = (x + 1)^2 + 3

a) graph

b) graph

c) graph

d) graph

2. Find the domain of the
function and express the answer in interval notation. Explain in words or show
the calculations.

a) f(x) = 4x^2-7x + 3

b) g(x) = 10/(x + 7)

c) f(x) = SQRT(4x – 16)

d) 2x/(x – 3)

e) f(x) = 3x – 9

3) 3. Find the specified
asymptotes of the following functions. Recall that asymptotes are lines
therefore the answer must be given as an equation of a line.

a) Find the vertical asymptote of
the function f(x) = 4/ (x + 5)

b) Find the horizontal asymptote
of the function g(x) = (5x^2 – 4)/(x + 1)

c) Find the vertical and
horizontal asymptotes of the function
f(x) = (3x – 1)/(x + 4)

d) d) Find the vertical and
horizontal asymptotes of the function g(x) = (x + 7)/(x^2 – 4)