Given: \(\displaystyle{y}={5}^{{x}}\)

Rewrite as: \(y = 1(5)^{x}\)

For a. function, \(y = ab^x\),

- the function represents exponential growth if a > 0 and b > 1.

- the function represents exponential decay if a > 0 and b < 1.

In either case, the y-intercept is (0,2).

From the given, a = 1 and b = 5. Becatise a > 0 and b > 1, then the function represents an exponential growth and the y-intercept is (0,1)