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 : ( , )

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 )

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

dwe

step-by-step explanation:

ewd