Question

Take a look at the graph below. In the text box provided, describe to the best of yourability the following characteristics of the graph:Domain & RangeIs it a function?InterceptsMaximum/Minimum• Increasing/Decreasing intervals

Answer 1

we know that

The domain is the set of all possible values of x and the range is the set of all possible values of y

so

In this problem

The domain is the interval {-6,5}

`-6\leq x\leq5`

The range is the interval {-2,1}

`-2\leq y\leq1`

Intercepts

we have

x-intercepts (values of x when the value of y is equal to zero)

x=-5,x=0 and x=3

y-intercepts (values of y when the value of x is equal to zero)

y=0

Maximum value y=1

Minimum value y=-2

Increasing intervals

{-6,4}, {2,3}

Decreasing intervals

{-1,2} and {3,5}