Roots of Functions

These functions determine the roots (or x-intercepts) of the eight key functions: linear, quadratic, cubic, hyperbolic, exponential, logarithmic, logistic, and sinusoidal. They return arrays containing all the roots of the given function. Some, such as exponential and logistic, never have any roots, so they return an array of None. In contrast, sinusoidal functions may either have no roots or an infinite number of roots; in the latter case, initial roots within a four-period interval are provided along with general forms for determining the other roots.

• Linear Roots
• Quadratic Roots
• Cubic Roots
• Hyperbolic Roots
• Exponential Roots
• Logarithmic Roots
• Logistic Roots
• Sinusoidal Roots