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Other Examples: A rational function is the ratio of two polynomials P(x) and Q(x) like this. Except that Q(x) cannot be zero (and anywhere that Q(x)=0 is undefined) A root (or zero) is where the expression is equal to zero:
Below are some examples of these types of functions: y = 2x + 1 y = 3x2 - 5x + 3 y = Sin(x) x2 + y2 = 4 y2 = x3 - Tan(x). These algebraic functions are all different and have different properties. It is often useful to have a visual way to look at these functions. Graphs provide such a tool.