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3 years ago

Y={1 if x is rational 0 if x is irrational How would you describe it's graph?

Mathematics

1 answer:

Setler [38]3 years ago

6 0

The set of rational plus irrational numbers equals ALL REAL NUMBERS

Yes, it is a function because every x-value maps into only one y-value. In other words, because rational and irrational are mutually exclusive, x does not map into both 0 and 1

Domain is all real numbers.

Range is 0 or 1

y-intercept happens when x=0, so that is a rational number and y = 1

There are an infinite number of x-intercepts. Every irrational number is an x-intercept

Neither even or odd because it is not symmetric with either the y-axis or the origin.

The graph jumps between y=0 and y=1

Hope that helps Answer:

Step-by-step explanation:

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CaHeK987 [17]

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3 years ago

What is the equation of the line that passes through the point (-2, 7) and has a slope of zero

lorasvet [3.4K]

Answer:

y = 7 is the equation of the line that passes through the point ( -2, 7 ) and has a slope of zero.

Step-by-step explanation:

Given:

Let,

A ≡ ( x1 , y1 ) ≡ ( -2, 7 )

Slope = m = 0

To Find :

Equation of Line:

Solution:

Formula for , equation of a line passing through a point ( x1 , y1 ) and having a slope m is given by

$(y - y_{1})=m(x-x_{1})$

Now substituting the values of x1 = -2 and y1 = 7 and slope m = 0 we get,

$y-7=0\times(x--2) \\y-7=0\times (x+2)\\y-7=0\\\therefore y=7$

Which is the required equation of a line passing through the point ( -2, 7 ) and slope zero

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garri49 [273]

Answer:

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Step-by-step explanation:

19 + 5 = 24

24/3 = 8

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Answer:

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Step-by-step explanation:

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