What are the domain and range of the function below

we know that

The Domain of the function graphed is the interval-------> [0,∞)

All real numbers greater than or equal to zero

The Range of the function graphed is the interval-------> (-∞,4]

All real numbers less than or equal to four

therefore

the answer is

Domain [0,∞)

Range (-∞,4]

You can use the definition of domain and range to identity them for the specified plotted function.

The domain and range of the given function is given by

Option B:

One more thing to note is that, usually, we plot functions such that inputs are on the horizontal axis(x-axis) and the outputs are on the vertical axis(y-axis).

In the given graph, we can see that the function is not defined for values of x < 0 and thus, we have the domain of the plotted function as

We can write it as

It can be seen that the function is going down and the maximum value on y-axis it could attain was 4, so the range of the function has maximum value of 4

It can be seen that the function is just going down. Assuming that it goes down and has no lower limit, we can say that the function goes till -infinity.

Thus, its outputs include the values

Thus,The domain and range of the given function is given by

Option B:

Learn more about domain and range here:

link

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: