The provided text outlines various types of mathematical functions, each with distinctive properties and graphical representations. Linear functions are polynomial functions of degree one, producing straight-line graphs.
The graph is V-shaped and symmetric with respect to the y-axis. It's always non-negative. he graph grows rapidly as x increases. It has a horizontal asymptote at y = 0.
Absolute value f(x)=lxl
The absolute value function returns the magnitude or absolute distance of a number from zero. The graph is V-shaped and symmetric with respect to the y-axis. It's always non-negative.
Cubic f(x)=x3
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A cubic function is a polynomial function of degree 3. It often exhibits an S-shaped curve. The graph may have one or two inflection points, where it changes concavity. It can have up to two real roots.