Question 1049327
the equation itself is an exponential equation because the unknown value of x is in the exponent.


i would describe the graph as the graph of an exponential equation.


the domain is all real values of x because there is no value of x that does not result in a real value of y.


the range of the function is all real values of y that are greater than 0 because the value of y will never be less than or equal to 0.


why is this so?


when x = 0, the value of the function is y = 4.


when x is positive, the value of the function is greater than 4.


when x is negative, the value of the function is 0 < x < 4.


here's the graph of the equation so you can see for yourself.


<img src = "http://theo.x10hosting.com/2016/092203.jpg" alt="$$$" </>


you can also see for yourself by just plugging in values for x and see that the graph conforms to the equation.


when x = -20, the equation becomes y = 4 * 1.5^-26 which is equal to .0012029146 which the graph display rounds to .001.