SP#3 Unit I Concept 1: Graphing exponential functions and identifyingx-intercepts, y-intercepts, asymptotes, domain, range (4 points on graph minimum)

The first thing you have to do in this type of problem is figure out your a, b, h, and k, this will help you figure everything out. We know that y=k so our y will equal 9, this part of our problem is our asymptote, you should always find it first. Next thing we will find is our x-intercept. We sent y equal to 0 and this will take us back to unit H in finding how to solve for exponents, we will be using logs. In this problem you will notice that when you plug it in to the calculator it will show err. Why? Because you cannot have a negative log. This means there will be no x-intercept for this problem. We next move on to the y-intercept. You plug in 0 to the x. Here you will have to solve which is simple. Next you find the domain  which does on forever because the domain is the x-axis. Now the range is different. In the beginning we found all or our parts to the problem, now if the "a" is negative, you will have negative infinity up to the asymptote. If the "a" you will have the asymptote and then infinity. After all of this you have some points. You need more to be able to graph this so choose any point you want on the x-axis and find the y for it then graph it.

      Make sure you pay attention to how I found the x and y intercept because that will get tricky. You will need a calculator I this part to solve for it. Remember if the number it negative you will not be able to graph it.