Which functions in the table below give values that could come from exponential functions? 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

Question

Which functions in the table below give values that could come from exponential functions? 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

campbell_st · Answer

g(x) each value is double the previous

k(x) each value is 1/4 of the previous...

anonymous · Answer

so what does that mean?? @campbell_st

campbell_st · Answer

ok... here is the exponential function for g(x) 

$$g(x) = 2^x$$

so substitute x = -3 

you get 

$$g(-3) = 2^{-3} = 0.125$$

for k(x) you get 

$$k(x) = (\frac{1}{4})^{x}$$

so $$k(-3) = (\frac{1}{4})^{-3} = 64$$

anonymous · Answer

ok i undertand now thank you very much