In this concept you will be learning how to graph exponential functions as well as identify the x-intercepts, y-intercepts, asymptotes, domain and range. The parent graph is y = a times b^(x-h) + k. You will be using the parent graph to find the asymptote, the x-intercepts, y-intercepts, domain and range.
Be careful plugging 0 into y to find the x-intercept as well as plugging in 0 for x when finding the y intercept. Make sure that you are using your algebra solving skills correctly when finding the intercepts. Remember that you CANNOT take the log or natural log of a negative number (if is undefined and that means that you will not have a x intercept). Remember to put arrows on the ends of your graph because it goes on forever.
Problem: f(x) = 3(2^x-5)+4