How to check if a function is increasing or decreasing

Asked by admin @ in Mathematics viewed by 217 People

For each function below, find its domain and then determine if the function increasing, decreasing, or constant on each piece of the domain.

f(r)=5r^2−4
The interval on which the function is increasing is : ( , )
The interval on which the function is decreasing is : ( , )
The interval on which the function is constant is : ( , )

Answered by admin @


Answer:

Domain:  all real numbers

The interval on which the function is increasing is : (0 , infinity)

The interval on which the function is decreasing is : (-infinity , 0)

The interval on which the function is constant is : ( 0,0 )

Step-by-step explanation:

f(r)=5r^2−4

This is  a quadratic function.

vertex at  (0, -4)  and with positive coefficient for r^2

The interval on which the function is increasing is : (0 , infinity)

The interval on which the function is decreasing is : (-infinity , 0)

The interval on which the function is constant is : ( 0,0 )


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