# Exponentials and logarithms

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• Gradients of line graphs (including finding the gradient of a given line, and drawing a line given the gradient)
• Linear equations (including special lines, and what if two lines cross)
• Introduction to curve
• Parabolic equations (including the axis of symmetry)
• Exponential equations (including a special number)
• When two graphs meet

A more detailed list of topics is also available: generalising numbers graphs - contents.

Module B5-Exponential and logarithmic functions (PDF*924kb)

This document includes:

This document includes:

• Exponential functions (including the function and its graph, case studies, average rate of change and the inverse of the exponential function)
• Logarithmic functions (including the function and its graph, case studies, average rate of change and properties of logarithms)
• Putting it all together – solving equations and real world applications

A more detailed list of topics is also available: exponential and logarithmic functions - contents.

This document includes:

• What are functions
• Function toolbox (including functional notation, zero conditions of a function, average rate of change of a function, continuity and the inverse of a function)
• Families of functions (including polynomial functions (which include the constant function, the linear function, the quadratic function, and other polynomial functions), exponential and logarithmic functions, rational functions and functions over an integral domain (including arithmetic and geometric sequences)

A more detailed list of topics is also available: relations and functions - contents.

This document includes:

• Inequalities and the real number line (including operations on inequalities, and linear inequalities of two variables)
• Quadratic Equations and Completing the Square
• Functions (including polynomials, rational functions, other important non-linear functions, solving simultaneous equations algebraically and graphically inverse Functions and continuity)

A more detailed list of topics is also available: algebra, functions and geometry - contents.