Other tags that relate to Tangled Trig Graphs
Functions and their inverses. Biology. Maths Supporting SET. Turning points. Graphing software and graphical calculators. Symmetry. Inequalities. Transformation of functions. Trigonometric functions and graphs. Graph sketching.There are 12 results
Broad Topics > Calculus > Turning points
Witch of Agnesi
Age 16 to 18
Challenge Level
Sketch the members of the family of graphs given by y = a^3/(x^2+a^2) for a=1, 2 and 3.
Folium of Descartes
Age 16 to 18
Challenge Level
Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.
Curve Fitter
Age 14 to 18
Challenge Level
This problem challenges you to find cubic equations which satisfy different conditions.
Scientific Curves
Age 16 to 18
Challenge Level
Can you sketch these difficult curves, which have uses in mathematical modelling?
Curve Hunter
Age 14 to 18
Challenge Level
This problem challenges you to sketch curves with different properties.
Calculus Analogies
Age 16 to 18
Challenge Level
Consider these analogies for helping to understand key concepts in calculus.
Discrete Trends
Age 16 to 18
Challenge Level
Find the maximum value of n to the power 1/n and prove that it is a maximum.
Exponential Trend
Age 16 to 18
Challenge Level
Find all the turning points of y=x^{1/x} for x>0 and decide whether each is a maximum or minimum. Give a sketch of the graph.
Quick Route
Age 16 to 18
Challenge Level
What is the quickest route across a ploughed field when your speed around the edge is greater?
Patterns of Inflection
Age 16 to 18
Challenge Level
Find the relationship between the locations of points of inflection, maxima and minima of functions.
Bird-brained
Age 16 to 18
Challenge Level
How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.
Least of All
Age 16 to 18
Challenge Level
A point moves on a line segment. A function depends on the position of the point. Where do you expect the point to be for a minimum of this function to occur.
NRICH is part of the family of activities in the Millennium Mathematics Project.