Functions and their inverses

There are 16 NRICH Mathematical resources connected to Functions and their inverses
Real-life equations
problem
Favourite

Real-life equations

Age
16 to 18
Challenge level
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Here are several equations from real life. Can you work out which measurements are possible from each equation?
PCDF
problem
Favourite

Pcdf

Age
16 to 18
Challenge level
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When can a pdf and a cdf coincide?
Equation matcher
problem
Favourite

Equation matcher

Age
16 to 18
Challenge level
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Can you match these equations to these graphs?
Area L
problem
Favourite

Area l

Age
16 to 18
Challenge level
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By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?
Maths Shop Window
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Maths shop window

Age
16 to 18
Challenge level
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Make a functional window display which will both satisfy the manager and make sense to the shoppers
Function Pyramids
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Function pyramids

Age
16 to 18
Challenge level
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A function pyramid is a structure where each entry in the pyramid is determined by the two entries below it. Can you figure out how the pyramid is generated?

Pitchfork
problem

Pitchfork

Age
16 to 18
Challenge level
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Plot the graph of x^y = y^x in the first quadrant and explain its properties.
Curve match
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Curve match

Age
16 to 18
Challenge level
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Which curve is which, and how would you plan a route to pass between them?
Rational request
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Rational request

Age
16 to 18
Challenge level
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Can you make a curve to match my friend's requirements?