The graph shown in the image resembles a logarithmic curve. A logarithmic function typically has the form:

$y = \log(x)$

Key characteristics of logarithmic functions include:

1. A steep increase when $x$ is close to zero.
2. A slowing growth as $x$ increases, which matches the shape in the graph (starting steep and flattening out as $x$ increases).

The correct answer for this question would be logarithmic.

Would you like more details or have any questions?

Here are 5 related questions you might find useful:

1. How does an exponential function differ from a logarithmic function in graph shape?
2. What are the key properties of a logarithmic function?
3. How do logarithmic functions apply to real-world scenarios?
4. Can a logarithmic function ever cross the x-axis or y-axis?
5. How can you tell if a graph represents a cubic or quadratic function?

Tip: Logarithmic graphs always approach the y-axis but never touch it, indicating that they are undefined for non-positive $x$.