the following graphs show one period of a periodic function. answer any questions that follow. is the…

the following graphs show one period of a periodic function. answer any questions that follow. is the function increasing, decreasing, or both on the interval 45 < x < 51? is the function concave up, concave down, or both on the interval 12 < x < 18? is there a relative max, relative min, or neither at x = 33?

the following graphs show one period of a periodic function. answer any questions that follow. is the function increasing, decreasing, or both on the interval 45 < x < 51? is the function concave up, concave down, or both on the interval 12 < x < 18? is there a relative max, relative min, or neither at x = 33?

Answer

Explanation:

Step1: Analyze increasing - decreasing

For the interval $45 < x < 51$, as $x$ increases, the $y -$ values of the function are decreasing.

Step2: Analyze concavity

For the interval $12 < x < 18$, the function curves upward, so it is concave up.

Step3: Analyze relative extrema

At $x = 33$, the function is neither at a peak (relative max) nor at a trough (relative min).

Answer:

  1. Decreasing
  2. Concave up
  3. Neither