Question

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.

Answer 1

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

Answer 2

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

Increasing on $\mathbf{-8<x<-4\ and -1 < x < 5}$

• 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 $\mathbf{-4<x<-1}$

• 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

$\mathbf{f(-8)=-5}$

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

Zeros at $\mathbf{x=-6,-2,\ and\ 3}$

• 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