The graph of the function f(x) = 2x² - 8 - 3x² - 6x is shown in the image attached with solution of x = -2 or x = - 4.
How to draw the graph of the function?
The graph of the function is plotted by applying the following formula as shown below;
f(x) = 2x² - 8 - 3x² - 6x
The function above is simplified as follows;
f(x) = (2x² - 3x²) - 8 - 6x
f(x) = - x² - 6x - 8
The function can be factorized as follows;
f(x) = - x² - 2x - 4x - 8
f(x) = - x(x + 2) - 4(x + 2)
f(x) = (x + 2)(- x - 4)
So the value of x = -2 or - 4
Also, the graph of the function is shown in the image attached.
The complete question is below:
f(x) = 2x² - 8 - 3x² - 6x. Plot the graph of this function.