Final answer:
To graph the function f(x) = 4^x - 1, choose values for x and calculate corresponding values of f(x). Plot the points and connect them to create the graph.
Step-by-step explanation:
To graph the function f(x) = 4x - 1, we can start by identifying key points on the graph.
Let's choose some values for x and calculate the corresponding values of f(x).
- When x = 0, f(x) = 40 - 1 = 1 - 1 = 0. So we have the point (0, 0) on the graph.
- When x = 1, f(x) = 41 - 1 = 4 - 1 = 3. So we have the point (1, 3) on the graph.
- When x = -1, f(x) = 4-1 - 1 = 1/4 - 1 = -3/4. So we have the point (-1, -3/4) on the graph.
Plotting these points and connecting them with a smooth curve, we get the graph of f(x) = 4x - 1.