Final Answer:
The graph of f(x) = 3ˣ - 3 is an upward-trending exponential curve that starts at (-1, 0) and continuously increases, never touching the x-axis.
Step-by-step explanation:
Exponential Growth: 3ˣ represents exponential growth, causing the curve to rapidly rise as x increases.
Horizontal Shift: The constant term -3 shifts the entire curve downwards by 3 units, keeping it above the x-axis.
Point of Intersection: The curve passes through (-1, 0) because 3^(-1) - 3 = 0.
Shape and Behavior: Due to the exponential term, the curve steeply ascends without ever intersecting the x-axis due to the negative shift.
Therefore, imagine a graph that starts at (-1, 0) and rapidly climbs upwards, never touching the x-axis. This is the graph of f(x) = 3ˣ - 3.