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(a) Select the correct choice below and, if necessary, fill in the answer to complete your choice. A. The function is increasing over the open interval(s) ____.(Type your answer in interval notation. Use a comma to separate answers as needed.)B. The function is never increasing. 2)A. The function is decreasing over the open interval(s) ____.(Type your answer in interval notation. Use a comma to separate answers as needed.)B. The function is never decreasing. 3)A. The function is constant over the open interval(s) ____.(Type your answer in interval notation. Use a comma to separate answers as needed.)B. The function is never constant

(a) Select the correct choice below and, if necessary, fill in the answer to complete-example-1
User Rockvole
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1 Answer

4 votes

Given:

1)

Required:

We need to find the interval where the function increases.

Step-by-step explanation:

Recall that the function increases if the value of y is increasing on increasing the value of x.

From the graph, the give function is increasing from the point (-1,-3) to the point (3,6).

Consider the x values of the points.


\text{ The function is increasing over the open interval\lparen s\rparen =\lparen-1,3\rparen}

Answer:


(-1,3)

2)

Required:

We need to find the interval where the function decreases.

Step-by-step explanation:

Recall that the function decreases if the value of y is decreasing by increasing the value of x.

The end of the line is moving the left side to the negative infinity of x.

From the graph, the give function is decreasing from the negative infinity of x to the point (-1,-3).

Consider the values of x from the points.


\text{ The function is decreasing over the open interval\lparen s\rparen=\lparen-}\infty\text{,-1\rparen}

Answer:


(-\infty,-1)

3)

Required:

We need to find the interval where the function is constant.

Step-by-step explanation:

Recall that the function is constant when the line of the function is a horizontal line.

The end of the line is moving right to the infinity of x.

The given function is constant from the point (3,6) to positive infinity.

Consider the values of x from the points.


\text{ The function is constant over the open interval\lparen s\rparen=\lparen3,}\infty\text{\rparen}

Answer:


(3,\infty)

(a) Select the correct choice below and, if necessary, fill in the answer to complete-example-1
(a) Select the correct choice below and, if necessary, fill in the answer to complete-example-2
(a) Select the correct choice below and, if necessary, fill in the answer to complete-example-3
User Brian Gerard
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5.5k points