6.2.3

Graphing Linear and Exponential Growth

Test yourself

Drawing Graphs of Exponential Growth and Decay

Exponential growth and decay can be plotted on a graph.

Illustrative background for From a multiplier to a graphIllustrative background for From a multiplier to a graph ?? "content

From a multiplier to a graph

  • A multiplier for exponential growth or decay can be used to generate a table of values.
  • A graph can then be plotted from the table of values.
Illustrative background for Example questionIllustrative background for Example question ?? "content

Example question

  • The population of a colony of bacteria increases by 2× every 2 weeks. The colony has a population of 50 at week 0.
  • Plot a graph showing the exponential growth of the population.
Illustrative background for Example answerIllustrative background for Example answer ?? "content

Example answer

  • Generate a table of values.
    • xx shows the number of weeks.
    • yy shows the population size.
Illustrative background for Example answer cont.Illustrative background for Example answer cont. ?? "content

Example answer cont.

  • Plot these values on a graph.

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

Go student ad image

Unlock your full potential with GoStudent tutoring

  • Affordable 1:1 tutoring from the comfort of your home

  • Tutors are matched to your specific learning needs

  • 30+ school subjects covered

Book a free trial lesson