larissa graphs a function that is increasing on the interval (-∞, 3) and decreasing on the interval (3, ∞)…

larissa graphs a function that is increasing on the interval (-∞, 3) and decreasing on the interval (3, ∞). which of following must also be true about larissas graph? a the function has a relative minimum at x = 3. b the function has a relative maximum at x = 3. c the function has a relative maximum at y = 3. d the function has an x - intercept at (3,0).

larissa graphs a function that is increasing on the interval (-∞, 3) and decreasing on the interval (3, ∞). which of following must also be true about larissas graph? a the function has a relative minimum at x = 3. b the function has a relative maximum at x = 3. c the function has a relative maximum at y = 3. d the function has an x - intercept at (3,0).

Answer

Explanation:

Step1: Recall increasing - decreasing property

A function changes from increasing to decreasing at a relative maximum.

Step2: Analyze the given intervals

The function is increasing on $(-\infty,3)$ and decreasing on $(3,\infty)$. So at $x = 3$, the function changes from increasing to decreasing.

Answer:

B. The function has a relative maximum at $x = 3$