We are given the equations shown below and are asked to find the one that is different. We will label each of them in order to tell them apart.
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A)& y=3^x & B) & f(x)=2(4)^x
C)& f(x)=(- 3)^x & D) & y = 5(3)^xAll of these equations have a similar format, since they all have a power with the variable x as the exponent. Therefore, we can check if they are exponential functions. Recall that an exponential function has the form shown below.
y = a b^x
Here, a, and b are real numbers such that a≠0, b>0, and b ≠1. We can compare this form to the equations given.
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A) & y= 1( 3)^x & B) & f(x)= 2( 4)^x
C) & f(x)= 1( - 3)^x & D) & y = 5( 3)^x
As we can see, all the equations represent exponential functions except for C, f(x) = (- 3)^x, since it has a negative b-value, b = - 3. Therefore, this is the odd one out.
