Functions: Building Functions Archive

Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling…

(+) Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and…

Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate…

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x +…

Find inverse functions.

Solve an equation of the form f(x) = c for a simple function f that has an inverse and…

(+) Verify by composition that one function is the inverse of another.

(+) Read values of an inverse function from a graph or a table, given that the function has an…