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Identify the following information for the function of thegraph.Domain:Range:x-intercepts:y-intercept:Interval positive:Interval negative:Interval increasing:Interval decreasing:Average rate of change over [-2, 0]

Identify the following information for the function of thegraphDomainRangexinterceptsyinterceptInterval positiveInterval negativeInterval increasingInterval dec class=

Respuesta :

Looking at the given graph

we have that

Part 1

The domain is the interval

(-infinite, infinite)

Part 2

The range is the interval

[3, infinite)

Part 3

x-intercepts --------> DNE (not exists)

Part 4

y-intercept ------> (0,7)

Part 5

Interval positive -----> (-infinite, infinite)

Part 6

Interval negative ----> DNE

Part 7

Interval increasing -----> (-2, infinite)

Part 8

Interval decreasing ----> (-infinite, -2)

Part 9

The average rate of change over the interval [-2,0]

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

where

a=-2

b=0

f(a)=f(-2)=3

f(b)=f(0)=7

substitute

[tex]\frac{7-3}{0-(-2)}=\frac{4}{2}=2[/tex]

The average rate of change is 2