This problem covers an example from unit I concept 1. This picture covers how to graph exponential functions and identifying the x-intercept, y-intercept, asymptotes, domain, and range.
2) What must the reader pay close attention to in order not to make a mistake?
Make sure to notice how the equation is set up. The general set up for an exponential function is y=a(b^x-h)+k. If a is positive, the graph will be above the asymptote. If a is negative, the graph will be below the asymptote. If the absolute value of b is less than 1, the graph is close to the asymptote on the right side. If the absolute value of b is greater than 1, the graph is close to the asymptote to the left side. H shifts the graph left and right and in our case, our key points will do the shifting for us. If k is positive, it moves the asymptote up "k" units. If k is negative, it moves the asymptote down "k" units.
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