Sketch the graph of f( x ) = 2^x  and g( x ) = ( 1 /2)^x on the similar axis system.

Solution

Okay, as we don't have any ideas on what these graphs appear like we're going to have to pick some values of x & do some function evaluations.  Function evaluation along with exponential functions works in accurately the similar manner which all function evaluation has worked to this point. Whatever is in the parenthesis on the left we substitute into the entire x's on the right side.

Following are some evaluations for these two functions,

Following is the sketch of the two graphs.