Search Results for “function”
Function Composition
The purple function is f(x), the blue function is g(x) and the red function is f(g(x)). Can you define f(x) so that f(g(x)) = h(x), at least over a restricted domain?
Even and Odd Functions With a Tangent Twist
This app allows you to visually conceptualize even and odd functions while also discovering the function of a tangent line.
Tangents to Polar Functions
The purple curve has polar equation r=f(θ). A lies on this curve, and B is a point at the intersection of the tangent at A with the line perpendicular to OA. The red curve is the locus of B The grey curve is the curve r=g(θ) rotated by the quantity on the slider. What function g() will rotate to lie on top of the red curve?
The Tangent Function
This app allows the user to explore the relationship between the unit circle and the tangent function. (F-TF 2, 3)
The Cosine Function
This app allows the user to explore the relationship between the unit circle and the cosine function. (F-TF 2, 3)
The Sine Function
This app allows the user to explore the relationship between the unit circle and the sine function. (F-TF 2, 3)
Function composition challenge 5
Can you find the function f, so that f(sin(x)) matches the grey curve?
