Question

Curve y= f(x) cuts the x-axis at
the point whose abscissa is x0​

Answer 1

Explanation:

Curve y = f(x) cuts the x - axis at the point whose abscissa is x0

Answer 2

Therefore, whenever the abscissa is zero ( x = 0 ) in a function y = f ( x ), the ordinate becomes either '0' or 'takes the value of constant'.

Given:

y = f( x )

To Find:

Need to find the ordinate where the curve cuts the x-axis ( x = 0 )

Solution:

This problem can be solved more easily by taking 2 cases.

Case 1: The function f ( x ) has no constant { For example y = x }

⇒ In this case, when the curve cuts the x-axis it cuts the y-axis too ( passes through the origin ). So the Ordinate becomes 0 when Abscissa becomes zero.

Case 2: The function f ( x ) has a constant { For example y = x + 1 }

⇒ In this case, when the curve cuts the x-axis, y-coordinate is not zero.

The Ordinate takes the value of constant when the Abscissa becomes 0.

Therefore, whenever the abscissa is zero ( x = 0 ) in a function y = f ( x ), the ordinate becomes either '0' or 'takes the value of constant'.

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