SOLUTION: Write an exponential function y = abx for a graph that includes (–3, 16) and (–1, 4)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Write an exponential function y = abx for a graph that includes (–3, 16) and (–1, 4)       Log On


   

Question 1124995: Write an exponential function y = abx for a graph that includes (–3, 16) and (–1, 4)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
"exponential", then want form as y=ab^x.
y=ab%5Ex


system%2816=ab%5E%28-3%29%2C4=ab%5E%28-1%29%29

system%28a%2Fb%5E3=16%2Ca%2Fb=4%29

%281%2Fb%5E3%29%2F%281%2Fb%29=4

1%2Fb%5E2=2%5E2

1%2Fb=2

b=1%2F2
-
4=a%281%2F2%29%5E%28-1%29
4=a%282%29
a=2
-
highlight%28y=2%2A%281%2F2%29%5Ex%29