Final Answer:
The type of function represented by the given set of points is C) Exponential function.
Step-by-step explanation:
The set of points exhibits an exponential growth pattern, as the y-values increase at an accelerating rate with each successive x-value. In an exponential function, the variable is in the exponent, leading to a rapid growth or decay. Looking at the given points, as x increases, the corresponding y-values show a significant increase, indicating exponential behavior.
In a linear function, the rate of change remains constant, while a quadratic function typically represents a parabolic curve. However, in this case, the points do not follow a linear or quadratic pattern, as the changes in y-values are not consistent or quadratic in nature.
The points provided do not follow the characteristics of a logarithmic function either, where the logarithm of the x-values would produce a linear relationship with the y-values. Instead, the given set of points aligns more closely with the behavior expected in an exponential function, as the y-values grow at an increasing rate with each increment in x.
Therefore, based on the observed pattern of growth, the correct answer is C) Exponential function.