The graph gets close to the x-axis on the left, and gets steeper and steeper on the right, which means that it has the shape of an exponential graph. Because the graph passes through points (0, 1) and (2, 2.7. . .), it matches the graph of $\displaystyle{f{{\left({x}\right)}}}={{e}}^{{{0.5}{x}}}\usepackage{cmbright}\Huge\$ .