use the graph to determine the following. (a) find the numbers at which f has a relative maximum. what are…

use the graph to determine the following. (a) find the numbers at which f has a relative maximum. what are these relative maxima? (b) find the numbers at which f has a relative minimum. what are these relative minima? (a) the number(s) at which f has a relative maximum is/are 3. (type an integer or a decimal. use a comma to separate answers as needed.) the relative maximum/maxima is/are 4. (type an integer or a decimal. use a comma to separate answers as needed.) (b) the number(s) at which f has a relative minimum is/are 2.4. (type an integer or a decimal. use a comma to separate answers as needed.) the relative minimum/minima is/are empty box. (type an integer or a decimal. use a comma to separate answers as needed.)

use the graph to determine the following. (a) find the numbers at which f has a relative maximum. what are these relative maxima? (b) find the numbers at which f has a relative minimum. what are these relative minima? (a) the number(s) at which f has a relative maximum is/are 3. (type an integer or a decimal. use a comma to separate answers as needed.) the relative maximum/maxima is/are 4. (type an integer or a decimal. use a comma to separate answers as needed.) (b) the number(s) at which f has a relative minimum is/are 2.4. (type an integer or a decimal. use a comma to separate answers as needed.) the relative minimum/minima is/are empty box. (type an integer or a decimal. use a comma to separate answers as needed.)

Answer

Explanation:

Step1: Recall relative - maximum concept

A relative maximum of a function occurs at a point where the function changes from increasing to decreasing. Looking at the graph visually, we identify the x - values where this happens.

Step2: Identify x - value for relative maximum

From the graph, we can see that the function changes from increasing to decreasing at (x = 3). So the number at which (f) has a relative maximum is (x = 3).

Step3: Find the relative - maximum value

We then find the corresponding y - value at (x = 3). By looking at the graph, when (x = 3), (y=4). So the relative maximum is (4).

Step4: Recall relative - minimum concept

A relative minimum of a function occurs at a point where the function changes from decreasing to increasing.

Step5: Identify x - values for relative minimum

From the graph, we can see that the function changes from decreasing to increasing at (x = 2) and (x = 4).

Step6: Find the relative - minimum values

By looking at the graph, when (x = 2) and (x = 4), the (y) - value is (2). So the relative minima are (2).

Answer:

(a) The number(s) at which (f) has a relative maximum is/are (3). The relative maximum/maxima is/are (4). (b) The number(s) at which (f) has a relative minimum is/are (2,4). The relative minimum/minima is/are (2).