JessicaWhitlo
contestada

Examine the graph. Which statements are true about the function represented by the graph? Select all that apply.

The function is negative over the interval (−16,0).
The function is negative over the interval (−5,3).
The function is positive over the interval (3,∞).
The function is positive over the interval (−∞,−5).
The function is positive over the interval (−5,3).
The function is negative over the interval (−∞,−5).

Examine the graph Which statements are true about the function represented by the graph Select all that apply The function is negative over the interval 160 The class=

Respuesta :

3 Answers:

  • Choice B) The function is negative over the interval (−5,3).
  • Choice C) The function is positive over the interval (3,∞).
  • Choice D) The function is positive over the interval (−∞,−5).

====================================================

Explanation:

The portion below the x axis is when f(x) is negative. This happens on the interval [tex]-5 < x < 3[/tex]. Note how -5 and 3 are the x intercepts or roots. So because f(x) is negative when [tex]-5 < x < 3[/tex] we can say f(x) is negative over the interval (-5, 3). This is interval notation and not ordered pair notation.

----------

The function f(x) is positive in two places. When x < -5 and when x > 3. This is where the purple parabola is above the x axis.

The x < -5 portion converts to the interval notation (−∞,−5)

The x > 3 portion converts to the interval notation (3,∞)

The function is positive over the interval (3,∞) and interval (−∞,−5) while negative over interval (−5,3) so options (B),(C), and (D) will be correct.

How to plot a graph?

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

If we look at the graph

The value of graph is positive after x = 3 and it is positive before x = -5

Let's say the graph is going infinitely in both directions.

Then the function is positive over the interval (3,∞) and interval (−∞,−5).

The function is negative from x = -5 to 3 so it will be negative over that.

Hence "The function is positive over the interval (3,∞) and interval (−∞,−5) while negative over interval (−5,3)".

For more information about the graph of a function

brainly.com/question/27757761

#SPJ5

Otras preguntas