What does it mean when a function has two zeros?

What does it mean that a function has two zero points?

The function has two zero points and has two meanings:

1. This function image has two intersection points with the x-axis.

2. Let the analytical expression of this function equal zero and have two zero points.

Necessary condition: The function has several zero points and its independent variable has several powers. Two zero points raised to the power twice, more than two to the power twice.

Determining condition: The zero point is the abscissa of the intersection of the function image and the x-axis, that is, the x value when y=0. There are two zero points, that is, there are two intersection points between the function image and the x-axis. They (that is, the intersection points) are (x1, 0) and (x2, 0), where x1 and x2 are called zero points. More than two means there are more than two intersection points, and their zero points are x1, x2, and x3.

Extended information:

When f(x)=0, the value of the corresponding independent variable x. It should be noted that the zero point is a numerical value, and It is not a point, but the abscissa coordinate of the intersection of the function and the X-axis.

The zero point of the function y=f(x) is the real root of the equation f(x)=0, which is the transverse direction of the intersection of the image of the function y=f(x) and the x-axis (line y=0) coordinates, so the equation f(x)=0 has real roots, the graph of the deduced function y=f(x) has an intersection with the x-axis, and the deduced function y=f(x) has a zero point.

The zero point of sign change is the point where the function image passes through, that is, the values ​​on both sides of that point have different signs (the function value at that point is zero).

The zero point of the constant sign means that the function image does not pass through that point, that is, the values ​​on both sides of that point have the same sign (the function value at that point is zero).

Note: If the maximum value of the function is 0, this method cannot be used to find the interval where the zero point is.

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