Which of the following functions shown in the table below could be an exponential function?

Check all that apply.

x -3 -2 -1 0 1 2 3
f(x) 0.67 1.11 1.82 3 5.95 9.15 14.45
g(x) 0.125 0.25 0.5 1 2 4 8
h(x) 0.25 0.5 0.75 1 1.25 1.5 1.75
k(x) 64 16 4 1 0.25 0.0625 0.0156

A. g(x)
B. h(x)
C. k(x)
D. f(x)

Question

Which of the following functions shown in the table below could be an exponential function?

Check all that apply.

x -3 -2 -1 0 1 2 3 
f(x) 0.67 1.11 1.82 3 5.95 9.15 14.45 
g(x) 0.125 0.25 0.5 1 2 4 8 
h(x) 0.25 0.5 0.75 1 1.25 1.5 1.75 
k(x) 64 16 4 1 0.25 0.0625 0.0156 


   A. g(x) 
   B. h(x) 
   C. k(x) 
   D. f(x)

dan815 · Answer

K(x)

tkhunny · Answer

h(x) has constant 1st differences.  Definitely NOT exponential.
g(x) has constant 1st RATIOS.  Definitely exponential.
k(x) has constant 1st RATIOS.  Definitely exponential.
f(x) doesn't seem to want to tell its secrets.