Short Answer 
The function f(x) = 5(2)^x has a y-intercept at (0, 5) and another point at (2, 20). These points illustrate the exponential growth of the function when plotted on a graph.
Step 1: Identify the Function and Y-Intercept
The function in question is f(x) = 5(2)^x. To find the y-intercept, evaluate the function at x = 0. Doing this, we calculate:
- f(0) = 5(2)^0 = 5 x 1 = 5.
Thus, the y-intercept is the point (0, 5).
Step 2: Calculate Another Point on the Graph
To further define the graph, evaluate the function at another point, which is x = 2. This will give us additional information about the behavior of the function. Calculate:
- f(2) = 5(2)^2 = 5 x 4 = 20.
This means another point on the graph is (2, 20).
Step 3: Understand the Graph Representation
With the derived points from the function, we can represent the graph accurately. The key points identified are:
- The y-intercept at (0, 5).
- Another point at (2, 20).
These points can be plotted on a graph to visualize the behavior of the function f(x) = 5(2)^x, showcasing its exponential growth.