How to get horizontal asymptotes and get equations for cubic functions given a graph

We started by looking at problems from the most recent test.

Getting the x and y intercepts just involves setting one variable or the other equal to zero since that is where the equation will intersect the axes.

A quadratic equation will generally have two solutions, it can be less.

To find horizontal asymptotes, I just plug in a large number for x and a negative large magnitude number. You can think of positive/negative infinity or even positive/negative 100.

It helps to know the general shapes of functions, lines, parabolas, cubic functions, etc.

The hardest problem might have been figuring out the equation of a cubic function based on the graph. Two zeros were given as well as another point. That means that one of the terms with a zero would be squared since there were only two zeros.

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