graph the function ( y = 2^{x - 5}-1 ) using the given table of values and following the instructions below.
graph the function ( y = 2^{x - 5}-1 ) using the given table of values and following the instructions below.
Answer
Explanation:
Step1: Plot the points
Take each pair of (x) and (y) values from the tables. For example, when (x = - 10,y=-0.9999695); when (x = 5,y = 0); when (x=10,y = 31). Mark these points ((x,y)) on the coordinate plane.
Step2: Connect the points
Since the function (y = 2^{x - 5}-1) is an exponential function, the graph will have the characteristic shape of an exponential curve. Connect the plotted points with a smooth curve. As (x\to-\infty), (y\to - 1) (horizontal asymptote (y=-1)) and as (x) increases, (y) increases exponentially.
Answer:
Follow the two - step process of plotting the points from the given (x - y) tables and then connecting them with a smooth curve that has a horizontal asymptote (y =-1) and increases exponentially for increasing (x) values.