Determine whether the function represents exponential growth or exponential decay. Then identify the percent rate of change.
Consider the following case of exponential growth. Complete parts a through c below.
The population of a town with an initial population of 75,000 grows at a rate of 5.5% per year.
a. Create an exponential function of the form
For each of the piecewise-defined functions, determine whether or not the function is one-to-one, and if it is, determine its inverse function.
Deduce from the Completeness Axiom that there exists a square root of a real number a if and only if
Find the vertex, the axis of symmetry, and the y-intercept of the graph.