SOLUTION: write an equation for the graph of an exponential function with the points (0,0.5) and (2,14).

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: write an equation for the graph of an exponential function with the points (0,0.5) and (2,14).       Log On


   

Question 1073488: write an equation for the graph of an exponential function with the points (0,0.5) and (2,14).
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Form of model,y=a%2Ab%5Ex


First ordered pair:
0.5=a%2Ab%5E0
0.5=a%2A1
highlight_green%28a=0.5%29


Second of the ordered pair:
14=%280.5%29%2Ab%5E2
b%5E2=14%2F0.5
b%5E2=28=2%2A2%2A7
highlight_green%28b=2sqrt%287%29%29


highlight%28y=%281%2F2%29%2A%282%2Asqrt%287%29%29%5Ex%29