f(x) = a graph is a horizontal line
f(x) = x points on graph have coordinates (a, a)
f(x) = x2 graph is U-shaped
f(x) = x3 graph is symmetric about the origin
square root function
f(x) = sqrt(x) graph is in first quadrant
f(x) = 1/x graph has two branches
absolute value function
f(x) = │x│ graph is V-shaped
Exponential & Logarithmic
y = ln x
y = bx
Domain & Range
Domain: The domain of a function is the set of all possible input values (often the "x" variable), which produce a valid output from a particular function. It is the set of all real numbers for which a function is mathematically defined.
Range: The range is the set of all possible output values (usually the variable y, or sometimes expressed as f(x)), which result from using a particular function.