Function composition challenge 5

Can you find the function f, so that f(sin(x)) matches the grey curve?

Tags: Function-composition, trigonometry

Function composition challenge 3

Can you find the function f, so that f(sin(x)) matches the grey curve?

Tags: function-composition, algebra-2

Function composition challenge 4

Can you find the function f, so that f(sin(x)) matches the grey curve?

Tags: function-composition

Function composition challenge 2

Can you find the function f, so that f(sin(x)) matches the grey curve?

Tags: function-composition, algebra-2

Function composition challenge 1

Can you find the function f, so that f(sin(x)) matches the grey curve?

Tags: function-composition, algebra-2

Inverted Trammel

Archimedes trammel draws an ellipse if you fix the base and move the handle. What happens if you fix the handle and move the base? Drag point D to find out. See the curve.

Tags: trammel, ellipse

Inverted Trammel 2

Archimedes trammel draws an ellipse if used properly. Turning the trammel upside down gives a curve which is certainly not an ellipse.

Tags: Trammel-2

Function Product Challenge 1

Can you define f(x) so that the red curve lies on top of the grey one?

Tags: functions, function-products, trigonometry

Find the Multiple 4

Another mystery curve.  Can you find what multiple of sin(x) it is?

Tags: functions

Function composition challenge 5

Find f(x) such that f(sin(x)) matches the mystery curve.

Tags: function-composition, trigonometry