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Resources tagged with Functions and their inverses similar to Inverting Rational Functions:

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Broad Topics > Sequences, Functions and Graphs > Functions and their inverses

Inverting Rational Functions

Stage: 5 Challenge Level:

Consider these questions concerning inverting rational functions

PCDF

Stage: 5 Challenge Level:

When can a pdf and a cdf coincide?

Rational Request

Stage: 5 Challenge Level:

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

Stage: 5 Challenge Level:

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.

Curve Match

Stage: 5 Challenge Level:

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

Pitchfork

Stage: 5 Challenge Level:

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

Area L

Stage: 5 Challenge Level:

Draw the graph of a continuous increasing function in the first quadrant and horizontal and vertical lines through two points. The areas in your sketch lead to a useful formula for finding integrals.

Equation Matcher

Stage: 5 Challenge Level:

Can you match these equations to these graphs?

Maths Shop Window

Stage: 5 Challenge Level:

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

Function Pyramids

Stage: 5 Challenge Level:

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?

Real-life Equations

Stage: 5 Challenge Level:

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

Modular Fractions

Stage: 5 Challenge Level:

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.

Double Time

Stage: 5 Challenge Level:

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

Changing Places

Stage: 4 Challenge Level:

Place a red counter in the top left corner of a 4x4 array, which is covered by 14 other smaller counters, leaving a gap in the bottom right hand corner (HOME). What is the smallest number of moves. . . .

Spaces for Exploration

Stage: 3 and 4

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