GPS: MM3A2c, MM3A2e, MM3A2f

 MM3A2c – Define logarithmic functions as inverses of exponential functions.  MM3A2f – Graph functions as transformations of f(x) = a x, f(x) = log a x, f(x) = ex, f(x) = ln x.  MM3A2e – Investigate and explain characteristics of exponential and logarithmic functions including domain and range, asymptotes, zeros, intercepts, intervals of increase and decrease, and rate of change.

Logarithmic FormExponential Form

 Try page 145, 1-8

 Before we answer that, what is a function? ◦ Think maps ◦ How would we solve the following functions? Domain Range 2 3

Logs are “undone” by exponents – and vice versa Natural logs (ln) are undone by e – or vice versa

Original function Switch x and y Write in exponential form. Solve for y. *The inverse is when you solve for y*