The problem asks whether the provided graph represents a function and its inverse. The graph shows two curves: one that looks like an exponential function and the other that looks like a logarithmic function. We need to determine if they are inverses of each other.

1. Problem Description

The problem asks whether the provided graph represents a function and its inverse. The graph shows two curves: one that looks like an exponential function and the other that looks like a logarithmic function. We need to determine if they are inverses of each other.

2. Solution Steps

To determine if the two curves are inverses of each other, we need to check if they are reflections of each other across the line $y = x$. Visually, we can imagine the line $y = x$ and see if the two curves are symmetrical with respect to it. Another method to check is by looking for specific points.

If $(a, b)$ is a point on the function, then $(b, a)$ should be a point on the inverse function.

Looking at the graph, it appears that one curve passes through $(0, 1)$, and the other passes through $(1, 0)$. Also, the exponential-like curve seems to increase rapidly, while the logarithmic-like curve increases slowly. Considering these characteristics, the two curves may represent the functions $y = a^x$ and $y = \log_a(x)$ for some base $a > 1$. The two curves appear to be reflections across the line $y = x$. So the graph could potentially represent a function and its inverse.

3. Final Answer

Yes