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# Which exponential function is represented by the graph?f(x) = 2(1/2)^x f(x) = 1/2(2)^x f(x) = 1/2 (1/2)^x f(x) = 2(2)^xDownload png

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The easiest way to solve this is to run through a couple of points to see what can be eliminated.x = 0 is a good test. Why?Because you are going to receive 2 or 1/2 when finished. That will eliminate 2 of the answers.For A and Df(x) = 2(1/2)^xf(0) = 2(1/2)^0 But anything to the 0 power is 1.f(0) = 2That response eliminates a and D C and Bif x = 1, f(1) = 1 the point of The test is 1.1 f(1) = 1 Bf(x) = 1/2(2)^1(1) = 1/2(2)^1(1) = 1/2(2)f(1) = 1 It looks like B is the answer, but with this type of questions, you must use the third point. (-1,0.25)f(-1) = 1/2(2)^-1 but 2^-1 = 1/2f(-1) = 1/2 * 1/2f(-1) = 1/4, but, as a decimal, 1/4 = 0.25 f(-1) = 0.25 B <<<<< Reply