2.5.6

Graphs of 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 coordinates 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 at 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

1Proof

2Algebra & Functions

2.1Powers & Roots

2.2Quadratic Equations

2.3Inequalities

2.4Polynomials

2.5Graphs

2.6Functions

2.7Transformation of Graphs

2.8Partial Fractions (A2 Only)

3Coordinate Geometry

4Sequences & Series

5Trigonometry

6Exponentials & Logarithms

7Differentiation

8Integration

9Numerical Methods

10Vectors

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