The amount of algae in a fishbowl doubles every day. Initially, the fishbowl has .5 grams of algae in it so that the function y = .5(2^x ) models the amount of algae in the bowl after x days. Graph this function. (1 point

Answer 1

To graph the function y = .5(2^x), you can use a graphing calculator or a graphing software.

Alternatively, you can manually plot a few points to help you sketch the graph:

When x = 0, y = .5(2^0) = .5(1) = .5
When x = 1, y = .5(2^1) = .5(2) = 1
When x = 2, y = .5(2^2) = .5(4) = 2
When x = 3, y = .5(2^3) = .5(8) = 4

Plotting these points on a graph, you will see that the function is exponential and grows rapidly. The graph will start at the point (0, 0.5) and then quickly increase in a curve as x increases.