2.5.6

Common Functions 2

Test yourself

Common Functions

To sketch a graph, look at whether it is exponential, reciprocal or some other type of graph. Then plot some x and y co-ordinates and join them up in the right shape.

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Exponential

  • Exponential functions are of the form y = kx or y = k-x.
  • They are completely above the x axis and go through the point (0, 1).
  • If k > 1 and the power is positive then the graph starts in the bottom left and then has a steep gradient up to the top right.
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Reciprocal

  • Reciprocal graphs never cross the x or y axis. They are only in 2 parts (quadrants) of the graph.
  • They are usually y = ax or xy = a.

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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