Answer :

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

#SPJ1

Other Questions