Select one example polynomial in standard form to model the graphic process and explain how you could use the same steps for other polynomials. As you work through each algebraic step, there must be a visual sketch of that step. Here are the criteria your example polynomial must have

at least three different powers of x

at least one sign change between the terms

Infographics are visual representations of data, information, and knowledge intended to share information quickly, concisely, and clearly. Your infographic should describe and illustrate your graphing process.

As you begin the infographic process, consider the following questions to help guide your thinking:

When graphing a polynomial, do you first:

Look at the exponent of the leading term?

Identify 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?

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Something visual, a mnemonic, writing out steps, etc.

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Plenty of textbooks and other resources have graphing guides, but this is meant to convey your approach and how you think about the key terms. Try to use everyday language

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as opposed to challenging mathematical terms

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$$to clearly explain the concepts. As with most stories, there is so much to tell, so you will need to be very selective about what you include in your infographic.

Key Points To Include:

How to find x and y intercepts

What the x and y intercepts represent in words

How to identify the domain and range

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

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intercepts

Carefully consider the process you will present and what visual tools

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including charts

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$$you will use to communicate that data. The sequence should be obvious to your audience. Like many good stories, your infographic should have a beginning, middle, and end. Your infographic should be illustrative and eye

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catching; consider what icons, images, colors, and fonts will contribute to the clarity and impact of your infographic. It may help to experiment a bit to determine what works best.