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 : ( , )

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mysticchacha mysticchacha · Answer 1 · 2020-05-04T01:50:28+02:00

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 )

andromache andromache · Answer 2 · 2022-04-12T10:31:18+02:00

Here the domain should be all real numbers

The interval is increasing i.e. (0 , infinity), decreasing i.e. (-infinity , 0), and constant i.e. ( 0,0 ).

Since

f(r)=5r^2−4

So this represent that This is a quadratic function.

So here,

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

Based on this we can say that

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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