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Mekhanik [1.2K]
1 year ago
12

Using an example, explain what the graph of a rational function looks like. Contrast this with other functions we have studied.

Mathematics
1 answer:
Naddika [18.5K]1 year ago
8 0

The graph of a rational function differs from that of other functions with the existence of asymptotes

<h3>Graph of rational functions</h3>

The properties of the graph of a rational function include;

  • The graph of a rational function never crosses its vertical asymptote
  • It crosses its horizontal or slant asymptote
  • The graph of the reciprocal function y = 1/x or y = k/x is a rectangular (or right) hyperbola of which asymptotes are the coordinate axes

The graph of a rational function differs from that of other functions with the existence of asymptotes.

Learn more about rational functions here:

brainly.com/question/1851758

#SPJ1

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Parabola passes through the points (0,5), (1,4), and (2,5). What function does the graph represent?
AfilCa [17]

Answer:

x^2 - 2x + 5 = 0.

Step-by-step explanation:

The (0, 5) is the point where the parabola passes through the y axis (where x = 0), so we can write the equation as

y = ax^2 + bx + 5   where a and b are constants to be found.

Also, since (1, 4) and (2, 5) are points on the curve, substituting, we have the system:

a(1)^2 + 1b + 5 = 4

a(2)^2 + 2b + 5 = 5

Simplify these 2 equations:

a  + b  =  -1  .................(1)

4a + 2b = 0..................(2)

Multiply the first equation by -2:

-2a - 2b = 2 .................(3)

Add (2) + (3):

2a = 2

a = 1.

Substitute a = 1 into (2):-

4*1 + 2b = 0

2b = -4

b = -2.

7 0
3 years ago
Mrs. Grundy has two children. Given that Mrs. Grundy has at least one child born on a Monday, what is the probability that both
leva [86]

Answer:

1/7

Step-by-step explanation:

If one child was born on a Monday, then we don't have to consider that when solving the question, as it asks if both children were born on a Monday.

Thus, we only need to find the probability that the second child is born on a Monday. Since there are 7 days in a week and equally likely that the child is born on any day, then the probability of the child being born on a Monday would be 1/7.

5 0
3 years ago
One evening, Mr. Smith, Sam, and Sydney went to see the Myrtle Beach Pelicans’ Game. They each bought a ticket and a hat that co
o-na [289]

Answer:

You can't answer this question without knowing the total amount of money they all had in total.

3 0
3 years ago
Please help me its do tomorrow
PolarNik [594]
2x+3 + 3x-4 + 2x+3 + 3x-4 = 78
10x -2 = 78
10x = 80
x=8

deck is 2(8)+3 by 3(8)-4, or 19 by 20
3 0
3 years ago
Which shows the expression x^2-1/x^2-x in simplest form
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Answer:

\large\boxed{\dfrac{x+1}{x}=1+\dfrac{1}{x}}

Step-by-step explanation:

\dfrac{x^2-1}{x^2-x}=(*)\\\\x^2-1=x^2-1^2\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\=(x-1)(x+1)\\\\x^2-x=(x)(x)-(x)(1)\qquad\text{use the distributive property}\\=x(x-1)\\\\(*)=\dfrac{(x-1)(x+1)}{x(x-1)}\qquad\text{cancel}\ (x-1)\\\\=\dfrac{x+1}{x}=\dfrac{x}{x}+\dfrac{1}{x}=1+\dfrac{1}{x}

4 0
3 years ago
Read 2 more answers
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