Use the calculator to graph two different functions, one for each side of the equation.
No solution
Practice makes perfect
To solve the equation by graphing, we first have to create two functions. Each side of the given equation will become its own equation.
(1/4)^x=-2x-3 ⇒ ly=(1/4)^x y=-2x-3
Now we want to draw these graphs using a calculator. We can do this by pressing the Y= button and typing the equations in the two first rows.
Before we graph these functions, notice that the second function is a linear function, y=-2x-3, so there can be even two intersections with the exponential function. In order to accommodate this issue, we should change the viewing window. Let's restrict the x-axis.
-5 < x < 5
Also, we can change the scale of the y-axis to increase by 2. We can do this by pushing WINDOW.
Unfortunately, there are no points of intersection of these lines. Therefore, there are no solutions to the equation.
