SP #3: Unit I Concept 1: Graphing exponential functions and identifying x-intercepts, y-intercepts, asymptotes, domain, range

    The viewer must pay close attention when solving  for the x-intercept. If the log or natural log is negative, there is no x-intercept! Also, make sure to observe the problem before you actually start. There are so many small useful tips just by looking at the problem. You will eventually keep in mind of what the graph shall look like. Figure out if the graph will go above or below (negative "a" will go below). Find the asymptote so you can determine where or not there will be an x-intercept. From there, you can easily know your domain and range even before you start the problem!

Steps and Explanations!!
1. Label your a, h, b and k. In this type of equation, your asymptote will be y=k. 2. Find your x-intercept by plugging in zero for y. You will have to take the natural log in this problem in order to cancel and simplify your answer as much as possible.  3. Find your y-intercept by plugging in zero for x. Use pemdas to solve. 4. If an exponential graph has an asymptote that is y=k, then there will be no leading restrictions on the domain. Thus, it would be negative infinity, infinity (in order pairs). 5. Determine the range simply by looking at your graph. In this case, the graph is above the asymptote. So you will have to write your range practically based on your observation of the graph. The graph began at 3 and up beyond to infinity (3, infinity).