Question

Write an exponential function that includes the following given pair of points.

(1,5) and (2,25)

Answer 1

`y=5^x`

Explanation:

`y=a*b^x\\(1,5)=5=a*b^1 \implies(1)\\(2,25)=25=a*b^2\implies(2)\\(2)/(1)=(25)/(5) =(a*b^2)/(a*b^1) \\5=b`

`(1)=5=a*5\implies a=1 y=5^x\implies y=5^x`