Draw an image in the interval [0, Pai] where f (x) = 2 times sin (2x quartile) under the sign How to draw It is to draw the school between the negative eighties and the nine eighties, and then describe the interval Are 0 and pie in the list?

Almost, draw trigonometric function image, use five points to make 2x - π / 4 equal to 0, π / 2, π, 3 π / 2, 2 π, find out the corresponding x = π / 8, 3 π / 8, 5 π / 8, 7 π / 8, 9 π / 8, corresponding sin (2x - π / 4) = 0, 1, 0, - 1, 0, corresponding y = 0, radical 2, 0, and - radical 2

Please elaborate on the mathematical method of wear difference method, is the kind of drawing function image

Second, mark the roots on the number axis in the order from small to large. Pay attention to the hollow point (can not be taken) or solid point (can be taken). Third: draw a curve according to the order from right to left, from top to bottom, through these points

Draw the square of y = 3x + 2, y = - x + 1 y = 1 / x, y = x + 1 / y = X,

You can draw with the point method

What is the general procedure for drawing function images analytically

First, we should distinguish what kind of function it is, such as positive proportional function, inverse proportional function, first-order function, quadratic function, trigonometric function, logarithmic function and exponential function, because each function has its own characteristics
If it is a quadratic function, first find the symmetry axis, vertex coordinates and the intersection point with the coordinate axis. If it is a trigonometric function, such as sine and cosine function, use the five point method to draw the graph. Logarithmic function and exponential function first distinguish whether its "base" is greater than 1 or less than 1
Third, more complicated, use translation to draw
Fourth, using the properties of function itself, such as symmetry, parity, monotonicity and so on
Fifthly, piecewise functions should be clearly defined and drawn section by section
In a word, first remember the characteristics of various functions and make images in its definition domain

The steps to draw a function image are___ 、_ 、___ . hurry

1. List
2. Point tracing
3. Connection

To draw a function image

1. List 2. Trace points 3. Connect fifth, piecewise function, to clearly define the domain, section by section. In short, first remember the characteristics of various functions, and make images in its definition domain

The function y = ︱ / x + X is the image? How to draw the image How to draw the function image... By the way, how to draw it

Piecewise functions,
When x0, y = x / x + x = x + 1

image If the question to be all good add 200

1. The simplest and most common function (including the positive proportional function) is a straight line in the plane rectangular coordinate system

How to draw the image of function with absolute value symbol in high school mathematics? How to find symmetry axis.. day f (x) = I2

F (| x |) because it is an even function, it makes an image with x > 0, and then it is symmetric about the y-axis
|F (x) |, f (x) |, f (x) |

How to get the image of F (1 - | x |)

Take the left image of y-axis, fold it along the y-axis to the right, and then up the left image to get the image of F (- | x |), and then move up one unit, which is f (1 - | x |)

Draw an image in the interval [0, Pai] where f (x) = 2 times sin (2x quartile) under the sign How to draw It is to draw the school between the negative eighties and the nine eighties, and then describe the interval Are 0 and pie in the list?