y=f(x)

, make

f(x)=0

Real number of

x

Called function

y=f(x)

The zero point, that is, the zero point is not a point. In this way, the function

y=f(x)

The zero of is an equation.

f(x)=0

The real root of is the function.

y=f(x)

Image sum

x

The abscissa of the axis intersection.

Equivalent condition: equation f(x)=0.

Real roots are functions.

y=f(x)

Image sum

x

Axis has intersection point/function.

y=f(x)

There is zero.

Solution:

Find the equation

f(x)=0

The real root of is a definite function.

y=f(x)

The zero point of. Generally speaking, for equations that cannot be rooted by formula method.

f(x)=0

Generally speaking, we can use functions to compare.

y=f(x)

Connect, use the properties of functions to find the zero point, and then find the root of the equation.

function

y=f(x)

This is zero.

y=f(x)

Intersecting with the horizontal axis, equation

f(x)=0

If there is a root, then

△≥0

, can be used to find the coefficient, can also be combined with the expression of derivative function to solve the unknown coefficient.

Extended data

Generally speaking, for the function y=f(x)(x∈R), we call the real root x of the equation f(x)=0 as the zero point of the function y=f(x)(x∈D). That is, the zero point of the function is the value of the independent variable that makes the function value 0. The zero point of a function is not a point, but a real number.

In fact, the zero point is not very profound. Simply put, the zero point of a function is actually the abscissa of the intersection of this function and the X axis. In addition, if the continuous function in (a, b) satisfies f(a)? F (b) < 0, then (a, b) has at least one zero. This test center contains a lot of information, just know its concept.

Sogou encyclopedia-zero point