Question

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]

Answer 1

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]

`(f(b)-f(a))/(b-a)`

where

a=-2

b=0

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

f(b)=f(0)=7

substitute

`(7-3)/(0-(-2))=(4)/(2)=2`

The average rate of change is 2