The given function is:
\(\displaystyle{f{{\left({x}\right)}}}={6.9}{\left({2.6}\right)}^{{x}}\)

Is in the form: \(\displaystyle{y}={a}{\left({b}\right)}^{{x}}\)

Since b=2.6>1

Then the function represents exponential growth.

Is in the form: \(\displaystyle{y}={a}{\left({b}\right)}^{{x}}\)

Since b=2.6>1

Then the function represents exponential growth.