Question

Function f is an exponential function x -4,-2,0,2,4 f(x) 3/16, 3/4,3,12,48 by what factor does the output value increase as each input value increase by 1

Answer 1

2

Explanation:

The output increases by a factor of 4 when the input increases by 2 units:

(b^(x+2))/(b^x) = 4 = b^2

√4 = b = 2

The output value increases by a factor of 2 as each input value increases by 1.

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That rate of increase could also be -2. I see nothing in the problem setup that requires the sequence not alternate signs.