a. A graph of a function passes through the points (1, 4), (2, 8), and (3, 12).

Question

a. A graph of a function passes through the points (1, 4), (2, 8), and (3, 12). Could an exponential function be used to describe the behavior of this function? i. No i. If yes, define the function, f in terms of its input . If no, type - (minus sign). Preview b. A graph passes through the points (-2,4.6875), (-1,3.75) and (0, 3). Could an exponential function be used to describe the behavior of this function? i. Yes i. If yes, define the function, g in terms of its input z. If no, type - (minus sign) g(x)= 3(1.25% Preview Hint: Detemine if there is a multiplicative relationship between consecutive output values of the function.

Explanation / Answer

(-2, 4,6875) , (-1 , 3.75) and (0,3)

standard exponential is

y = ab^x

3 = ab^0

a = 3

3.75 = 3b^-1

b = 0.8

hence function is

g(x) = 3(0.8)^x

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