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Exponential Trend

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Integration Matcher

Age 16 to 18 Challenge Level:
The graphs of six functions and the graphs of their integrals have been mixed up below. Can you match them together?

Chart A
Chart B
Chart C
Chart D
Chart E
Chart F
Chart G
Chart H
Chart I
Chart J
Chart K
Chart L

You might like to print off copies of the graphs: Integration Matcher

What strategies did you use to match them up?

Can you make suggestions of algebraic forms for the functions used? You could plot your functions in GeoGebra or Desmos to see if your suggestions match the graphs.