Unit-4-Wiki-Logs-Exponents - home

<h1>Chapter 7 Essential Questions Wiki</h1>
 
Directions: 
<h2>Inverses:</h2>
 How do you find an both algebraically and graphically the inverse function of a linear 
and quadratic function? 
What are the domain and range of a function and its inverse and how do they relate? 
How can you graphically determine if two functions are inverses? 
<h2>Growth and Decay:</h2>
 How do you write and evaluate exponential expressions to model growth and decay 
situations? 
What is the asymptote of an exponential and logarithm function? 
How do you use an exponential equation to make predictions? 
<h2> </h2>
 <h2>Logarithmic Function:</h2>
 What is a logarithm? 
How do I write an exponential function into a logarithmic function? 
What does the graph of a logarithmic function look like? 
Logarithmic Properties: 
How can the properties of logarithms be used to simplify expression? 
What are the difference between exponential properties and logarithmic properties? 
<h2>Base e:</h2>
 What does the number e represent? 
Where does the number e come from? 
Do the properties of logarithms change using base e? 
Solving with Logarithms: 
How do you solve an equation with a variable exponent? 
How do you solve an equation with a variable that is in a logarithm? 
What is half-life and how does it relate to radioactive decay? 
How can I predict the temperature of a material at any given time? 
What is the population at any given time? 
Exponential and Logarithmic Regression: 
How do you choose a model to represent a real life exponential or logarithmic behavior? 
<h2>Chapter Essential Questions:</h2>
 
How do you solve problems with variables as the exponents? 
How do you solve problems with variables that are logarithmic? 
What are the domain and range of an exponential and logarithm function? 
What is the inverse function of an exponential function?