The different types of function graphs are: Constant: f(x) = c, where c is a constant Linear (Identity): f(x) = x Quadratic: f(x) = x²  Cubic:  f(x)=x³  Square Root: f(x) = √x Cube Root: f(x) = ∛x Modulus or Absolute Value: f(x) = |x| Reciprocal: f(x) = 1/x Reciprocal Squared: f(x) = 1/x²  Exponential: f(x) = e^x Logarithmic:  f(x) = ln(x) Trigonometric Functions: f(x) = sin(x), f(x) = cos(x) and f(x) = tan(x)