SOLUTION: Write an exponential function of the form y=ab^x whose graph passes through the given points. (0,2),(-6,17)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Write an exponential function of the form y=ab^x whose graph passes through the given points. (0,2),(-6,17)      Log On


   

Question 736514: Write an exponential function of the form y=ab^x whose graph passes through the given points.
(0,2),(-6,17)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
an exponential function of the form y=ab%5Ex whose graph passes through the given points (0,2),(-6,17) you can find if you find first what a and b is equal to
plug in given points in y=ab%5Ex and find a
y=ab%5Ex.......if (x=0,y=2), then
2=ab%5E0
2=a%2A1
2=a
now find b

y=ab%5Ex.......if (x=-6,y=17), and 2=a, then
17=2b%5E-6
17=2%281%2Fb%5E6%29
17b%5E6=2
b%5E6=2%2F17
b%5E6=0.118
b=root%286%2C0.118%29
b=0.7003476....round it
b=0.7
so, your exponential function is: y=2%2A0.7%5Ex