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roots of a rational equation and the x-intercepts

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Hi all , any one can help  me?

the connection between the real roots of a rational equation and the x-intercepts of the graph of the corresponding rational function, and describe this connection.

how can I explain that?

Apr 20, 2018

#1
+101768
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They are the same

the roots of f(x) are the x values that make f(x)=0

The equation of the x axis is y=0

so the roots of the equation y=f(x)  are the x values that make f(x)=0   true

Apr 20, 2018

#1
+101768
+3

They are the same

the roots of f(x) are the x values that make f(x)=0

The equation of the x axis is y=0

so the roots of the equation y=f(x)  are the x values that make f(x)=0   true

Melody Apr 20, 2018
#2
+1

HI, first thaks for your answer. I know that, but I am just looking for more information or an explanation. If this is the only point that I have to look for that's fine.

Guest Apr 20, 2018
#3
+101768
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This is true no matter how many roots there are.

Melody  Apr 21, 2018