Algebra-1

The function g(x) = 4 ⋅ 0.5^x is an exponential function where the base b=0.5. This is crucial because the base affects how the function behaves as x changes.

Since b = 0.5 is less than 1, the function represents exponential decay. This means that as x increases, 0.5^x will decrease.

To illustrate the decay, let's evaluate g(x) at different values of x:
When x = 0: g(0) = 4 ⋅ 0.5⁰ = 4 ⋅ 1 = 4.
When x = 1: ...