Part 4/5:
Application: Graphing ( y = 3 - 2^x )
To graph the function ( y = 3 - 2^x ):
Start with ( y = 2^x ), which is a typical exponential graph increasing towards infinity.
Implement the negative sign: ( y = -2^x ) reflects the graph down, creating a decreasing trend.
Finally, adding 3: shifting the entire graph upwards by 3, thus adjusting the horizontal position.
This yields a graph that never touches the x-axis, increasing towards ( y = 3 ) as ( x ) approaches negative infinity and decreasing towards negative infinity as ( x ) increases.