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Summary Functions (Graphs)
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  • Module
  • Mathematics
  • Institution
  • 11

This summary provides the equations of each of the following functions and the methods that can be used to find each equation from information given. It also describes what each variable in the equation represents on the graph. 1. Linear functions (The straight line) 2. Quadratic Functions ( Th...

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Document information

  • November 10, 2021
  • 4
  • 2020/2021
  • Summary

Subjects

  • functions
  • graphs
  • linear functions
  • linear
  • quadratic functions
  • quadratic
  • parabola
  • exponential funcations
  • exponential
  • hyperbolic function
  • heperbola
  • cartesian plane
  • cartesian
  • straight line
  • line

Written for

  • 11
  • Mathematics
  • 200
All documents for this subject (37)

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Linear Function (Straight Line graph)
y=mx+c
m<0 m>0

Gradient y-intercept

Methods of sketching:
1. The Table Method
In this method you use a table and substitute values for 𝑥 into the
equation in order to calculate a corresponding 𝑦 − 𝑣𝑎𝑙𝑢𝑒 giving you a
co-ordinate.

x -2 1 0 1 2
y

2. Dual Intercept Method
Determine the x- and y-intercepts and plot each intercept on the axis.
𝑥 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 𝑥: 0 ∶ 𝑦 = 0, 𝑠𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 𝑥.
𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 0; 𝑦 ∶ 𝑥 = 0, 𝑠𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 𝑦 → (𝑦 = 𝑐)

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