Graph the function y=1/5(2)^x. What is the y-intercept?
To graph the function y = (1/5)(2)^x, we can start by plotting a few points.
When x = 0, y = (1/5)(2)^0 = 1/5.
When x = 1, y = (1/5)(2)^1 = 2/5.
When x = 2, y = (1/5)(2)^2 = 4/5.
When x = -1, y = (1/5)(2)^(-1) = 1/10.
When x = -2, y = (1/5)(2)^(-2) = 1/20.
Plotting these points gives us the following graph:
The y-intercept is the value of y when x = 0, so the y-intercept is (0, 1/5).