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olya-2409 [2.1K]
3 years ago
14

What’s the interval domain of y=3

Mathematics
2 answers:
VLD [36.1K]3 years ago
7 0

I’m just doing this too

LekaFEV [45]3 years ago
4 0

Answer:

Domain:  

(

−

∞

,

0

)

∪

(

0

,

+

∞

)

 

Range:  

(

−

∞

,

+

∞

)

Step-by-step explanation:

y

=

3

x

y

is defined  

∀

x

∈

R

:

x

≠

0

Hence the domain of  

y

is  

(

−

∞

,

0

)

∪

(

0

,

+

∞

)

Now consider:

lim

x->0-

 

y

=

−

∞

and

lim

x->0+

 

y

=

+

∞

Hence the range of  

y

is  

(

−

∞

,

+

∞

)

This can be seen from the graph of  

y

below.

graph{3/x [-10, 10, -5, 5]}

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Let's find y-coordinate at x=a using tangent line and curve.

Using tangent line y at x=a is (2a-4) a -2 =2a^{2}-4a-2

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