Resources tagged with: Functions and their inverses

There are 16 NRICH Mathematical resources connected to Functions and their inverses, you may find related items under Coordinates, functions and graphs.

Problem Primary curriculum Secondary curriculum

Equation Matcher

Can you match these equations to these graphs?

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

PCDF

When can a pdf and a cdf coincide?

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Real-life Equations

Here are several equations from real life. Can you work out which measurements are possible from each equation?

Age 16 to 18

Challenge Level

Article Primary curriculum Secondary curriculum

Spaces for Exploration

Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.

Age 11 to 14

Problem Primary curriculum Secondary curriculum

Area L

By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Function Pyramids

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?

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Rational Request

Can you make a curve to match my friend's requirements?

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Inverting Rational Functions

Consider these questions concerning inverting rational functions

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Maths Shop Window

Make a functional window display which will both satisfy the manager and make sense to the shoppers

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Curve Match

Which curve is which, and how would you plan a route to pass between them?

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Pitchfork

Plot the graph of x^y = y^x in the first quadrant and explain its properties.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Double Time

Crack this code which depends on taking pairs of letters and using two simultaneous relations and modulus arithmetic to encode the message.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Readme

Decipher a simple code based on the rule C=7P+17 (mod 26) where C is the code for the letter P from the alphabet. Rearrange the formula and use the inverse to decipher automatically.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Machines

What is happening at each box in these machines?

Age 7 to 11

Challenge Level

Problem Primary curriculum Secondary curriculum

Modular Fractions

We only need 7 numbers for modulus (or clock) arithmetic mod 7 including working with fractions. Explore how to divide numbers and write fractions in modulus arithemtic.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

The Number Crunching Machine

Put a number at the top of the machine and collect a number at the bottom. What do you get? Which numbers get back to themselves?

Age 7 to 11

Challenge Level