Function f is an exponential function. x −1 1 3 5 7 f(x) 14 4 64 1024 16,234 By what factor does the output value increase as each input value increases by 1? Enter your answer in the box.

Function f is an exponential function. x      −1     1     3          5           7 f(x)     14    4   64     1024     16,234 We use exponential function y =ab^xWe find out factor bWhen x=1 then y=4, so equation becomes [tex]4=ab^1[/tex]When x=3 then y=64, so equation becomes [tex]64=ab^3[/tex]Divide the second equation by first equation[tex]\frac{64=ab^3}{4=ab^1}[/tex]16 = b^2Take square root on both sidesSo b = +-4f(x) is increasing, so b= 4Answer is 4