For example, x={ 1, 2,3} can be regarded as (+1) through the relation f, and then x is mapped to {2,3,4}, that is, 1, 2+ 1, 3+65438+.
Later, people regarded the set of X as a domain, the relation F as a mapping about X, and the mapping set as a range of values.
That is, the function f(x) described later.
The partial derivative of the function f(x) is sometimes recorded as f(x) and sometimes as f' or df/dx.
Fx=lim=[f(x)-f(x0)]/(x-x0), and x-x0 is close to zero.
2011-411recommended
Mathematical Function: Definition | Mathematical Function: Problem | Mathematical Function: Drawing | Mathematical Function: Formula | Mathematical Function: Header File
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The correspondence F is the correspondence between the definition field and the value field, regardless of the selected letter. The symbol y=f(x) is a mathematical expression of "y is a function of x", which should be understood as: x is an independent variable and an object imposed correspondingly; F is a correspondence, which can be an analytical expression, an image, a table or a text description. Y=f(x) is just a function symbol, which cannot be understood as "Y equals the product of f and x".
20 1 1-4- 1 1
It just means all functions ... f is a method and x is an unknown number.
2011-4-11Find out the error-prone points in the math set and function of senior one! Urgent!
I will give a speech in class tomorrow!
Question supplement: there must be specific topics.
20 1 1-7-22
Best answer
Many symbols can't be typed ~ so I can send them to you if necessary. Here are some examples: 1, A={x|}, B={x|}, if AB, the range of the number m is realistic.
Example 3, a = {x | x
Example 4. The number of times the image of the function y=f(x) intersects the straight line x=a is ().
(a) At least one (b) and at most one (c) must have one (d) and one or two 19 are false propositions, then the following four propositions: (1) None of the elements of m is an element of p; (2) There are elements in M that do not belong to P; (3) Elements with P in M; (4) The elements of M are not all elements of P, and the number of true propositions is ()
1 (B)2 (C)3 (D)4。
I hope it helps you ~ ~ ~
20 1 1-7-23 recommended
Senior One Mathematics: Function | Senior One Mathematics: Set | Senior One Mathematics: Compulsory | Senior One Mathematics: Answer | Senior One Mathematics: Triangle
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Is to focus on empty sets.
20 1 1-7-22 in advanced mathematics, if the function fx is derivable in (a, b) and its derivative is 0, then the function fx monotonically increases in (a, b). Why is it an open interval?
Why is it not a closed interval?
20 1 1-9- 10
Best answer
Because differentiability is defined as the left derivative is equal to the right derivative,
If you write "f(x) is derivable in the closed interval [a, b]", then f(a) is called non-derivable because it has no left derivative, and similarly, point b is also non-derivable, which contradicts the proposition.
So write: "f(x) is derivable in (a, b)"
20 1 1-9- 10
Other answers
Because f(x) can be discontinuous at point A and point B.
While (a, b) is derivable, f(x) must be continuous in (a, b).
Secondly, the derivative function f'(x) may have f'(a).
Mathematical function 20 1 1-9- 10 basic
PrivateSubCommand 1_Click()
a=Text 1。 text
MsgBoxSin(a)
End joint
Run the above program, enter 30 in TEXT 1, and then click COMMAND 1. The result is -.98803 1624092862, and the SIN 30 should be 0.5. What's going on here? In addition, changing sin to cos input 60 is incorrect, as are other functions.
2008-8- 19
Best answer
The unit of trigonometric function in VB is radian, not degree. Try printsin(2*atn( 1)/3). Description: atn( 1)=45 degrees.
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Mathematical Function: Problem | Mathematical Function: Formula | Mathematical Function: Image | Mathematical Function: Software | Mathematical Function: Symbol
The formula of quadratic function in mathematical function y=ax2+bx+c what is the relationship between this function and a.b.c?
I never understood the relationship between function and abc.
Question supplement: What do they have to do with function images? Is it about the relationship between the function images in which quadrant?
2009- 1-7
Best answer
This depends on the picture: 1. Function parabola is an axisymmetric figure. The symmetry axis is a straight line x=-b/2a.
The only intersection of the symmetry axis and the parabola is the vertex p of the parabola.
Especially when b=0, the symmetry axis of the parabola is the Y axis (that is, the straight line x=0).
2. A parabola has a vertex p with coordinates P(-b/2a, (4ac-b? )/4a)
-b/2a=0, p is on the y axis; When δ = b? When -4ac=0, p is on the x axis.
3. Quadratic coefficient A determines the opening direction and size of parabola.
When a > 0, the parabola opens upward; When a < 0, the parabola opens downward.
The larger the |a|, the smaller the opening of the parabola.
4. Both the linear coefficient b and the quadratic coefficient a*** determine the position of the symmetry axis.
When the signs of A and B are the same (that is, AB > 0), the symmetry axis is left on the Y axis;
When the signs of A and B are different (that is, AB < 0), the symmetry axis is on the right side of the Y axis.
5. The constant term c determines the intersection of parabola and Y axis.
The parabola intersects the Y axis at (0, c)
6. Number of intersections between parabola and X axis
δ= b？ When -4ac > 0, the parabola has two intersections with the x-axis.
δ= b？ When -4ac=0, the parabola has 1 intersections with the X axis.
_______
δ= b？ When -4ac < 0, the parabola has no intersection with the x axis. The value of x is an imaginary number (x =-b √ b? The reciprocal of the value of-4ac is multiplied by the imaginary number i, and the whole equation is divided by 2a).
When a0, the function gets the minimum value f(-b/2a)=4ac-b at x=-b/2a? /4a； At {x | x
When b=0, the axis of symmetry of parabola is the Y axis. At this point, the function is an even function, and the analytical expression is deformed into y=ax? +c(a≠0)
7. domain: r
Scope: (Corresponding to the analytical formula, and only discussing the case that A is greater than 0, please ask the reader to infer the case that A is less than 0) ①[(4ac-b? ) /4a, positive infinity); ②[t, positive infinity]
Parity: even function
Periodicity: None
Analytical formula:
①y=ax？ +bx+c[ general formula]
⑴a≠0
(2) when a > 0, the parabolic opening is upward; A < 0, parabolic opening downward;
(3) Extreme point: (-b/2a, (4ac-b? )/4a)；
⑸δ= b？ -4ac，
δ> 0, where the image intersects the X axis at two points:
([-b+√ δ]/2a, 0) and ([-b+√δ]/2a, 0);
Δ = 0, the image intersects the x axis at one point:
(-b/2a，0)；
δ < 0, the image has no intersection with the X axis;
②y=a(x-h)？ +t[ collocation method]
At this time, the corresponding extreme point is (h, t), where h=-b/2a and t=(4ac-b? )/4a)；
2009- 1-7 recommendations
Mathematical Function: Formula | Mathematical Function: Image | Mathematical Function: Problem | Mathematical Function: Software | Mathematical Function: Symbol
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Y = ax 2+bx+c and the focus of the y axis is (0, c).
The symmetry axis is a straight line x=-b/2a.
The vertex is (-b/2a, 4ac-b 2/4a).
A0, the image opening is upward.
A<0, the image opening is downward.
2009- 1-7
Quadratic coefficient. When a is greater than 0, the image opening is upward. Downward is less than 0.
First order term b coefficient
The constant term of c is 1. 2。 3。 . . Both will do.
2009- 1-7
A is the coefficient of quadratic term, and A cannot be 0.b is the coefficient of linear term. C is a constant term.