Answer:
Step-by-step explanation:
g(x) = (5/8)^x is an exponential function. Because 5/8 is less than 1, this function decreases constantly. You should start with "easy" values of x, such as 0, 1, 1/2, and calculate the corresponding y-values.
x y = (5/8)^x Plot these points:
0 1 (0, 1)
1 5/8 (1, 5/8)
2 25/64 (2, 25/64)
10 0.009 (10, 0.009
-1 1.6 (-1, 1.6)
Observe that the y-intercept is (-1, 1.6), and that as x increases, the y values decrease. As x grows larger and larger, the curve of the graph approaches the x-axis. We call that axis the "horizontal asymptote).
