The tangent function, perhaps. Tan is an Ant that is messed up.
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A line representing any polynomial function, power function (including negative powers), trigonometric functions, most continuous probability distribution functions.
From Wikipedia: "Typical operations are addition, subtraction, multiplication, division, and square root. Some [older] systems ... can also perform various transcendental functions such as exponential or trigonometric calculations, though in most modern processors these are done with software library routines." Trigonometric refers to sine, cosine, etc., as well as the corresponding inverse functions. The exponential function is to calculate ex, in combination with the natural (base e) logarithm, this can be used to calculate powers.
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explain why a function has at most one y-intercept
Most computers, like the one you're using to access this site, have a calculator function that will do simple math like this for you. For that matter, Google will do it if you type exp(i) into the search box.