2. What appears to be the domain of the part of the exponential function graphed on the grid? A -1leqslant xleqslant 3 B -1leqslant yleqslant 3 C 5.3leqslant xleqslant 27 D 5.3leqslant yleqslant 27

To determine the domain of the function based on the given description of the graph, we need to consider the range of x-values for which the function is defined.From the description, we know that the function is monotonically increasing and passes through the points (-1, 0), (0, 2), (1, 6), and (2, 18). Additionally, it is mentioned that as x approaches negative infinity, y approaches 0. This suggests that the function is defined for all x-values less than or equal to 2, since 2 is the highest x-value given for a point on the graph.The domain of a function is the set of all possible input values (x-values) for which the function is defined. Since the function is monotonically increasing and there is no upper limit mentioned for x, we can infer that the function continues beyond the point (2, 18). However, we are not given any specific information about how far the function extends in the positive x-direction.Given the options provided, we can rule out options B and D immediately because they describe ranges of y-values, not x-values. Between options A and C, option A is the only one that includes the x-values for the points provided (-1, 0), (0, 2), (1, 6), and (2, 18). Option C gives a range of x-values that do not include any of the points provided.Therefore, the correct answer is:A \(-1 \leq x \leq 3\)This option suggests that the domain of the part of the function graphed includes x-values from -1 up to 3, which is consistent with the points given and the fact that the function is monotonically increasing.