Question

Approximate when the function is positive, negative, increasing, or decreasing.

Answer 1

From the graph of the function, we have that:

• Positive: -1 < x < 1.

• Negative: x < -1 and x > 1.

• Increasing: x < 1.

• Decreasing: x > 1.

When a function is positive and when it is negative?

• A function is positive when it is above the x-axis.

• A function is negative when it is below the x-axis.

Hence:

• Positive: -1 < x < 1.

• Negative: x < -1 and x > 1.

When a function is increasing, looking at it's graph?

Looking at the graph, we get that a function f(x) is decreasing when it is "moving northeast", that is, to the right and up on the graph, meaning that when x increases, y decreases.

When a function is decreasing, looking at it's graph?

Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down on the graph, meaning that when x increases, y decreases.

Hence:

• Increasing: x < 1.

• Decreasing: x > 1.

More can be learned about functions at https://brainly.com/question/24808124

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