The function f(x) = (5/4)^x + 1 is an exponential function since the variable is an exponent. It has a base of 5/4 meaning its outputs change constantly as a multiplicative factor of 5/4. The function's initial value is 1 and it has been shifted up. This means while the initial value is 1, it has been shifted up 1 so the y-intercept is 2 or (0,2). The asymptote of the function has also been shifted from the parent's function location at y = 0 to y = 1. The asymptote is a horizontal line which the function never crosses but only approaches.
