Reference no: EM13512989

Graph and label the following two functions:

• f(x) = ??2 - 9
• g(x) = ??2 + 9

1. Describe the domain and range for each of these functions.

2. Explain how to find the vertex of a parabola.

3. Explain how algebra is used to determine if a parabola possesses real roots.

E. Graph and label the following two functions making sure that missing points and

asymptotes are clearly identified:

• f(x) = (??2 + 7x + 12)/(x + 4)
• g(x) = (- ??2 + 3x + 9)/(x - 1)

1. Describe the domain and range for each of these functions.

2. Determine the equation(s) of any asymptotes found in the graphs of these functions,

showing all work.

3. Discuss the conditions needed for a rational function to contain a slant asymptote.