Graph the function y=1/5(2^)x. What is the y-intercept?
To graph the function y=1/5(2^)x, we need to plot points on the coordinate plane.
Let's start by plugging in some x-values and finding the corresponding y-values.
When x = 0, y = 1/5 * 2^0 = 1/5 * 1 = 1/5.
When x = 1, y = 1/5 * 2^1 = 1/5 * 2 = 2/5.
When x = -1, y = 1/5 * 2^(-1) = 1/5 * 1/2 = 1/10.
Plotting these points on the coordinate plane, we have:
(0, 1/5), (1, 2/5), (-1, 1/10).
Now, let's draw a smooth curve that passes through these points.
The y-intercept is the value of y when x = 0, which is 1/5.
Therefore, the y-intercept is 1/5.