Mathematics, 19.07.2019 12:30 Cassandra100

What are the domain and range of the function below

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Answer from: meababy2009ow9ewa

we know that

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

$x\geq0$

All real numbers greater than or equal to zero

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

$y\leq 4$

All real numbers less than or equal to four

therefore

the answer is

Domain [0,∞)

Range (-∞,4]

Answer from: carterlapere

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:

Domain : $[0, \infty)$ Range : $(-\infty, 4]$ What is domain and range of a function?Domain is the set of values for which the given function is defined.Range is the set of all values which the given function can output.How are numerical intervals interpreted?[a,b] means all values between a and b and including a and b too.(a,b] means all values between a and b and including only b.For infinity and negative infinity, we cannot write $\infty ]$ since we cannot include infinity or negative infinity as they are symbols representing arbitrary large or small numbers respectively.

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 $x \geq 0$

We can write it as $x \in [0, \infty)$

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 $(-\infty, 4]$

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

Option B:

Domain : $[0, \infty)$ Range : $(-\infty, 4]$

Learn more about domain and range here:

link

Answer from: Quest

$w\geq 14$

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

$2l+2w\geq 40$

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

$2\times 6+2w\geq 40$

now, we can solve for w

$12+2w\geq 40$

subtract both sides by 12

$12+2w-12\geq 40-12$

$2w\geq 28$

divide both sides by 2

and we get

$w\geq 14$

so,

the smallest possible measurement of the width is 14 feet

Answer from: Quest

Idon’t know how to do that

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