pre all question6

Question

An exponential function f(x)=a⋅bx passes through the points (0, 5) and (2, 125). What are the values of aand b?

a =  and b =

Answer 1

(0,5) (2,125)

5=a(b^0) = a(1)=a

a =5

125= 5b^2

b^2 = 125/5 = 25

b = sqr25 = 5

f(x) = 5(5^x) is the exponential function through the two given points

or, an equivalent function. add the exponents, 1 and x

f(x) = 5^(x+1)

125 = 5^(2+1)= 5^3

5 =5^(0+1) = 5^1