This problem shows how to graph exponential equation. It has the key parts we are already familiar with which are the a, b, and k values. The a value in this type of equation shows us at first sight whether the graph will be above or below the asymptote based on whether the value is positive or negative, and k value is the the y=k asymptote. In this equation k=1 so the asymptote is y=1 and since the the a value is positive the graph will be above this asymptote. You can also find other key parts to be able to graph this equation. These parts include: key points (you get from the calculator easily), the x and y intercepts, and the domain and range. Remember that the domain in an exponential equation will always be all real numbers while the range will be either from negative infinity to the asymptote or from the asymptote to positive infinity. In this case it is from 1 to positive infinity.
You must pay close attention to whether the graph will have or not have an x-intercept. You know whether the graph will have a x-intercept by knowing that if the equation leads you to getting the log (or natural log/common log in your calculator) of a negative then you cannot solve this equation and therefore there is no x-intercept. A short cut to knowing there is not or there is an x-intercept is by looking at the a and k values of the exponential equation. if they are both positives or both negatives values then the equation will not have an x-intercept like in this example. But if the a and k values differ in that one is negative and the other is positive then there will be an x-intercept.
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