second derivative, the value is negative, so is a maximum. If we plug x = −
into the second derivative, the value is negative, so is a maximum. Now, we
can draw the curve. It looks like the following:
- Vertical asymptote at x = −8; Horizontal asymptote at y = 1; No maxima, minima, or points of
inflection.
First, notice that there is an x-intercept at x = 3 and that the y-intercept is . Next, we
take the derivative: = = . Next, we set the derivative
equal to zero to find the critical points. There is no solution. Next, we take the second
