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