Question

X+3/ x2-9x+20 A.4 B-3 C-4 D 5 E.3 F -5 apex

Answer 1

Answer:

• local minimum at x = -3-2√14
• local maximum at x = -3+2√14

Step-by-step explanation:

The first derivative simplifies to ...

  d/dx( ) = -(x^2 +6x -47)/(x^2 -9x +20)^2

This has zeros that can be found by the usual methods of solving quadratics:

  x = -3 ±2√14

The positive value of x corresponds to what I might call an "apex." (See the first attachment.) The negative value is where the function turns around an approaches the horizontal asymptote from below. (See the second attachment.)