Question

Write an
exponential function in the form y=ab^x that goes through points (0,11) and (2,1100).

Answer 1

y = 11·10^x

Explanation:

The two points give rise to two equations in 'a' and 'b'.

y = ab^x

11 = ab^0

1100 = ab^2

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We can simplify the first equation to ...

11 = a

Dividing the second equation by the first gives ...

100 = b^2

10 = b . . . . . take the square root

The exponential function is ...

y = 11·10^x