contestada

draw a graph y=f(x) that matches the following characteristics. increasing on:-8<x<-4 And-1<x<5. decreasing on :-4<x<-1. f(-8)=-5 And zeros at x=-6,-2,And 3. absolute maximum of 7 and absolute minimum of -5.

Respuesta :

Answer:

Graph is attached

Step-by-step explanation:

we are given characteristics of function

Increasing interval:

-8<x<-4  and -1<x<5

so, curve goes up in these interval

Decreasing interval:

-4<x<-1

so, curve goes downward on this interval

So, there will be local maxima at x=-4

and there will be local minima at x=-1

f(-8)=-5

and zeros are

x=-6, x=-2 and x=3

Absolute maximum value is 7

Absolute minimum value is -5

now, we can draw graph


Ver imagen rejkjavik
MrRoyal

Graphs are used to represent functions, by showing the relationships between the variables

From the question, the graph must satisfy the following characteristics

  • Increasing on: [tex]\mathbf{-8<x<-4\ and -1 < x < 5}[/tex]
  • Decreasing on :[tex]\mathbf{-4<x<-1}[/tex]
  • [tex]\mathbf{f(-8)=-5}[/tex]
  • Zeros at [tex]\mathbf{x=-6,-2,\ and\ 3}[/tex]
  • Absolute maximum of 7
  • Absolute minimum of -5

Increasing on [tex]\mathbf{-8<x<-4\ and -1 < x < 5}[/tex]

  • This means that, the value of the function increases for the values of x between -8 & -4, and the values of x between -1 and 5
  • The function can take any value at these intervals, but the values must show increment as x increases

Decreasing on [tex]\mathbf{-4<x<-1}[/tex]

  • This means that, the value of the function decreases for the values of x between -4 & -1
  • The function can take any value at this interval, but the values must show decrement as x increases

[tex]\mathbf{f(-8)=-5}[/tex]

  • The above equation means that, the graph must pass through (-8,-5)

Zeros at [tex]\mathbf{x=-6,-2,\ and\ 3}[/tex]

  • This means that the graph must pass through the x-axis, at the above values

Absolute maximum of 7

  • The maximum point on the graph is y = 7

Absolute minimum of -5

  • The minimum point on the graph is y = -5

See attachment for the graph that satisfies the stated conditions

Read more about graphs and functions at:

https://brainly.com/question/18806107

Ver imagen MrRoyal

Otras preguntas