Algebra-1

The function f(x) = a⋅10^x is an exponential function where 'a' is a constant that scales the output. In this case, we consider a = 0.01, which is a small positive number.

Evaluating the Function:

At x = 0: f(0) = 0.01⋅10⁰ = 0.01⋅1 = 0.01.
At x = 1: f(1) = 0.01⋅10¹ = 0.01⋅10 = 0.1.
At x = 2: f(2) = 0.01⋅10² = 0.01⋅100 = 1.

As x increases, the function produces positive values: 0.01, 0.1, 1, and so on.

Although a is small, the base (10) is greater than 1, which means that the function is still increasing. The gro...