Graphs of logarithmic and exponential functions: The figure shows the graphs of y = 2^x, y = 3^(?x), and y = ? In x. Match each curve with the correct function.

Step-by-step solution Step 1 We need to match the given graphs A, B, C with the given functions x x y = 2 , y = 3 , y =ln x. Step 2 To solve the problem we evaluate at y = 2 and compute for x. We then evaluate the correspondence of the graphs based on the computed values for x per function. a) y = 2 x x 2 = 2 x = 1 Therefore, the function passes through the point (1, 2) so graph B corresponds to y = 2 . x b) y = 3 x 2 = 3 x =0.63 Therefore, the function passes through the point (-0.63, 2) so graph A corresponds to y = 3 .x c) y =ln x 2 =ln x x = 0.135 Therefore, the function passes through the point (0.135, 2) so graph C corresponds to y =ln x .