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mel-nik [20]
3 years ago
8

Graph these equations: x + 3y = 6 x + 3y = 9

Mathematics
1 answer:
Evgen [1.6K]3 years ago
6 0
I don’t know if you can see this but I hope it does if u don’t understand let me know so I can explain!

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Which graph represents the function f(x)=3x-2/x-2
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ANSWER

The last graph is the correct answer

EXPLANATION

The function,
y = \frac{3x - 2}{x - 2} is a rational function.

This rational function has a vertical asymptote

at where the denominator is zero.

That is,
x - 2 = 0

This means that, the vertical asymptote occurs at

x = 2

The graph also has a horizontal asymptote at,

y = \frac{3}{1}

Thus, the horizontal asymptote occurs at
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At x-intercept,
f(x) = 0

This implies that,

\frac{3x - 2}{x - 2} = 0

\Rightarrow \: 3x - 2 = 0

3x = 2

\Rightarrow \: x = \frac{2}{3}

The graph cuts the x-axis at,

( \frac{2}{3} ,0)

At y-intercept,

x = 0

This implies that,

f(0) = \frac{3(0) - 2}{0 - 2} = \frac{ - 2}{ - 2} = 1

The graph cuts the y-axis at,

(0,1)

The graph that satisfy all the above conditions is the last one.

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