To find the y-intercept of an exponential function, we have to evaluate the function at x = 0. Given our function is y = 450 * (0.875)^x, let's substitute x with 0.
The exponential function y = 450 * (0.875)^x becomes y = 450 * (0.875)^0 when x = 0.
By mathematical principles, any non-zero number to the power of 0 is 1. Therefore, (0.875)^0 equals 1.
Multiplying 450 by 1 (450 * 1), we get 450.
Therefore, when x = 0 (i.e., at the y-intercept), y = 450.
Hence, the y-intercept of the function y = 450 * (0.875)^x is (0, 450).