Question

A function has a constant doubling time. what type of function does this represent?

Answer 1

This is an exponential function.

Answer 2

This is an exponential function.

As, y doubles proportionately to x.

When x=1, y doubles or y=
`2^(x)`=
`2^(1)`=2

When x=2, y doubles or y=
`2^(x)`=
`2^(2)`=4

When x=3, y doubles or y=
`2^(x)`=
`2^(3)`=8

That is, y(output) doubles with x(input)

y=[tex] 2^{x}