SP#3: Unit I Concept 1: Graphing Exponential Functions

Equation: You can see that -4 is A, 2 is B, 3 is H and it comes from (x-3) which is the exponent of 2, and -1 for K.
Key Points: I've used the -2, 1, 2, and 3 for the x-intercepts. To get the y-intercept you need to plug in equation I've given you into your calculator. But you'll need to use the change of base formula to get the right points.
Asymptote: To get the asymptote is pretty simple, it's just the number in K's place. In mine it will be -1.
X-intercept: To find X you will need to replace Y with 0 and then add 1 to both sides. Next divide -4 to both side and you should have -1/4 = 2^(x-3). Last you'll put LN to both sides to get ride of the 2. But in this case there is no x-intercept because LN can not be a negative number.
Y-intercept: First you'll have to replace X with 0 and the exponent for 2 will be -3. 2 with it's new exponent will now be 1/8. If you multiply the -4 to 1/8 you'll get -1/2. Add -1 to -1/2 and your answer should be -3/2. And your y-intercept should be (0,-3/20.
Domain and Range: The domain will be infinite for the x and y because it goes left and right. The range will be negative infinity for the x and -1 in the y because of the asymptote on -1.

In my problem the parts you need to pay special attention to are the x and y-intercepts. X because of the -4 and the fact that we can't have negative LOGs. Also Y due to the fact that there are fractions and it'll get with that.