Basic Functions

Basic Functions

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Basic Concepts of Functions . What is meant by a function + use common notations for functions + explain what is meant by the argument of a function. Graphs of Functions and Parametric Forms. One-to-One and Inverse Function. Characterising Functions. The Straight Line. The Circle

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Skill	Description
2.1. Basic Concepts of Functions	Explain what is meant by a function + use common notations for functions + explain what is meant by the argument of a function
2.2. Graphs of Functions and Parametric Form	Draw the graphs of a variety of functions + explain what is meant by the domain and range of a function
2.3. One-to-One and Inverse Functions	Explain what is meant by a one-to-one function + explain what is meant by a many-to-one function + explain what is meant by an inverse function, and determine when and how such a function can be found
2.4. Characterising Functions	Explain the distinction between a continuous and discontinuous function + find the limits of simple functions + explain what is meant by a periodic function + explain what is meant by an odd function and an even function
2.5 The Straight Line	Recognise the equation of a straight line + explain the significance of a and b in the equation of a line f(x) = ax + b + find the gradient of a straight line given two points on the line + find the equation of a straight line through two points + find
2.6. The Circle	Obtain the equation of any given circle + obtain the centre and radius of a circle from its equation
2.7. Some Common Functions	State what is meant by a polynomial function, and a rational function + use and graph the modulus function + use and graph the unit step function

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Basic Functions

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