Question: Example 2: f(x) = 3 Base 3 f(x) Tripling -multiplying by 3. * Do you see that when the function's base is 3, as the



Example 2: f(x) = 3" Base 3 f(x) Tripling -multiplying by 3. * Do you see that when the function's base is 3, as the power x increases by 1, the function f(x) triples? * Another way to say this, graphically: Each point you move rightward, the height triples exponential growth! # (Pause and make sure you see/understand this. If not, call your instructor over.) Considering the prior two examples, answer the following: What is an exponential function? Consider the following two examples: Example 1: f(x) = Base 2 . f(x) Doubling muitiplying by 2. * Do you see that when the function's base is 2, as the power x increases by 1, the function f(x) doubles? * Another way to say this, graphically: Each point you move rightward, the height doubles exponential growth! * (Pause and make sure you seefunderstand this. If not, call your instructor over.) Considering the prior two examples, answer the following: 1. What do you suppose would happen if the function's base is 4: f(x) = 4*? 2. What do you suppose would happen if the function's base is %: f(x) = (%j"? 3. Putting it all together. Do you see what it means to be an exponential function? Explain in your own words
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