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docker41 [41]
3 years ago
9

What is the first step in sketching the graph of a rational function?

Mathematics
2 answers:
MAVERICK [17]3 years ago
8 0

Consider the rational function

     f(x)=\frac{P(x)}{Q(x)}

We will find the Domain of Rational function first, means those value of  rational function for which f(x) is defined, To do this we will evaluate those  point first for which, Q(x)=0.

So, The first Step is "Finding Domain of the rational function" as well as the point where function is not defined.

⇒Consider the function

    f(x)=\frac{x-3}{x-2}

→Domain of the function is

x-2=0

x=2

=All Real Numbers , except at x=2.

=R- {2}

xxMikexx [17]3 years ago
3 0

Answer:

Step-by-step explanation:

Find the x-value that makes the denominator zero.  This x = a is the equation of the vertical asymptote.  Next, determine the behavior of the function as x increases without bound in either direction.  If there is a limiting value, then this y = d is the horizontal asymptote.

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Find the slope from the table:
Aleonysh [2.5K]

Answer:

B! \frac{-5}{3}

Step-by-step explanation:

Because 10 minus 5 (from the y column) is -5. And -5 - (-2) is +3. So you get -5 over 3 (\frac{-5}{3}). which is B!

Can you give me brainliest please?? :)

5 0
2 years ago
The sum of 13 divided by a number and that number divided by 13
7nadin3 [17]
Sum means add

the number is x

13 divided by a number is 13/x
the number divided by the number is x/13


so
\frac{13}{x}+\frac{x}{13}
also can be simplified to
\frac{169}{13x}+\frac{x^2}{13x} or
\frac{x62+169}{13x}



translated it is \frac{13}{x}+\frac{x}{13} where x is the number
5 0
3 years ago
Which of these tables represents a non-linear function?
olchik [2.2K]

Answer:

we conclude that the table ''A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20'' represents a non-linear function.

Step-by-step explanation:

The nature of whether a function can be linear or non-linear, we must check how the x and y values of the table change. If the first difference between y-values remains the same (constant first difference), then the table will represent a linear function, otherwise not.

Given the x and y entries of the first table:

x            y

17           20

18           19

19           18

20          17

From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.

i.e. 19-20=-1, 18-19=-1, 17-18=-1

Thus, this table represents a linear function.

Given the x and y entries of the second table:

x            y

17          -16

18          -17

19           -18

20          -19

From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.

i.e. -17-(-16)=-1, -18-(-17)=-1, -19-(-18)=-1

Thus, this table represents a linear function.

Given the x and y entries of the second table:

x            y

17          16

18          17

19           19

20          20

From the table, it is clear that as x constantly increases by 1 unit, but the y-values are not changing constantly. The first difference between y-values does not remain the same.

i.e. 17- 16 = 1, 19 - 17 = 2, 20 - 19 = 1

Thus, this table does not represent a linear function. Hence, it is a non-linear function.

Given the x and y entries of the second table:

x            y

17          -20

18          -19

19           -18

20          -17

From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.

i.e. -19-(-20)=1, -18-(-19)=1, -17-(-18)=1

Thus, this table represents a linear function.

Therefore, we conclude that the table ''A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20'' represents a non-linear function.

4 0
2 years ago
HELP ME PLEASE!!! ASAP THANK YOU SO MUCH
oksian1 [2.3K]

Answer:

Step-by-step explanation:

8 0
1 year ago
Help me pls the questions are here
andreyandreev [35.5K]
3x + 7 = -x - 1
3x + 7 + = -1
4x + 7 = -1
4x = -1 - 7
4x = -8
x = -2

1 - 2x + 5 = 4x - 3
-2x + 6 = 4x - 3
6 = 4x - 3 + 2x
6 = 6x - 3
6 + 3 = 6x
9 = 6x
x = 6/9
x = 2/3

i helped you with the first two questions so you can see how you can solve it.

hope this helps, God bless!
6 0
3 years ago
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