Select one example of a rational function to model the graphic process and explain how you could use the same steps for other rational functions. Here are the criteria your example rational function must have:

at least four different powers of x in the numerator and the denominator

at least two sign change between the terms .

very selective about what you include in your infographic.

How to find x and y intercepts

What the x and y intercepts represent in words

How to identify the domain and range

How to know if there are holes that need to be accounted for

How to determine if asymptotes are present and which kind they might be:

Vertical

Horizontal

Slant

How you know the behavior of the graph between and outside the x-intercepts

What the end behavior analysis of the function is

When graphing a rational function, do you first:

Look at the exponent of the leading term?

Identify the domain and range?

Determine which values cannot be in the domain and range?

Figure out what the x and y intercepts are?

Something else?

What is the easiest first step for you and why? What step is particularly challenging and why?

What is your way to remember how to go through all the graphing steps? (Something visual, a mnemonic, writing out steps, etc.)