College

The graph of the function f(x) = (x-4)(x + 1) is shown

below.

Which statement about the function is true?

The graph of the function f x x 4 x 1 is shown below Which statement about the function is true

Answer :

The correct statement about the function in this problem is given as follows:

The function is decreasing for all real values of x where x < 1.5.

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

  • Looking at the graph of the function, we get that a function f(x) is increasing when it is "moving northeast", that is, to the right and up on the graph, meaning that when the input variable represented x increases, the output variable represented by y also increases.
  • Looking at the graph of the function, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down the graph, meaning that when the input variable represented by x increases, the output variable represented by y decreases.

Hence the intervals of this problem are given as follows:

  • Decreasing for x < 1.5.
  • Increasing for x > 1.5.

More can be learned about graphs and functions at https://brainly.com/question/12463448

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