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Elden [556K]
3 years ago
12

Find the domain of the following relation. R={(19,96),(20,101),(21,106),(22,111)}

Mathematics
2 answers:
mafiozo [28]3 years ago
7 0
(x, y)

The domain are all the x-values, the range are all the y-values.

R={(19,96),(20,101),(21,106),(22,111)}

The domain is: 19, 20, 21, and 22
The range is: 96, 101, 106, and 111
kakasveta [241]3 years ago
5 0
The domain is all the x values...(x,y)
so the domain numbers are : 19,20,21,22
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Answer:

The values are evaluated below.

Step-by-step explanation:

Given function is

-x^4-7x^3-12x^2

We have to find the domain, range, rel max, rel min, end behaviour, increasing or decreasing intervals and zeros of polynomial.

Domain:

The domain of a function is the set of all possible values of x for the given function.

Here domain is set of all real numbers R.

Range:

The range is the resulting y-values we get after substituting all the possible x-values.From the graph we see that

The range is -\infty

Relative maxima and minima of a function,  are the largest and smallest value of the function on an entire domain of function.

Relative max of -x^4-7x^3-12x^2 is 0 at x=0

and \frac{3}{512}(133\sqrt57-471) at x=\frac{-21}{8}-\frac{\sqrt57}{8}

Relative min is

\frac{-3}{512}(471+133\sqrt57) at x=\frac{-21}{8}+\frac{\sqrt57}{8}

From the graph we see that

End behaviour is  As \\x->\infty, f(x)->-\infty\\x->-\infty, f(x)->-\infty\\

Increasing intervals and decreasing intervals are

Increasing: \frac{1}{8}(\sqrt57-21)

Decreasing: \frac{1}{8}(-21-\sqrt57)  

Zeroes are :

-x^4-7x^3-12x^2=0

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Hence, zeroes are 0, 0, -3, -4



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