What does exponential function mean

What does exponential function mean


The general form of exponential function is y = a ^ x (a > 0 and a ≠ 1) (x ∈ R). It is one of the elementary functions. It is an analytic function defined on C
Definition: in general, a function in the form of y = a ^ x (a > 0 and a ≠ 1) (x ∈ R) is called an exponential function. That is to say, a function with exponent as an independent variable, power as a dependent variable, and base constant is an exponential function. When a > 1, the function increases monotonically in the domain of definition. When a > 1, the function increases monotonically in the domain of definition



Is "exponential" and "exponential function" a concept?


Exponential expression and exponential function are not the same concept
Exponential expression is used to express power operation, such as X & sup2;, 5 & sup3; are exponential expressions
Exponential function is a kind of expression form of functional relationship between two variables, its expression form is generally y = a ^ x (where a > 0 and a ≠ 1), such as y = 3 ^ x, y = 0.12 ^ X are exponential functions



The definition of exponential function


Y = x power of A. a ≠ 0. X ∈ R



Exponential function equation (rigid Science)
(x + 1) LG2 = xlg3 this is the first step
(lg3-lg2) x = LG2 this is the second step
How can I transfer from the first step to the second step?


(x+1)lg2=xlg3 xlg2+lg2=xlg3 lg2=xlg3-xlg2 lg2=x(lg3-lg2) lg2=xlg(3/2) lg2=lg(3/2^x) 2=3/2^x x=log1.5(2)



Common factor of 35 24 30


The common factor of 35 24 30 is 1



The length of a pair of corresponding sides of two similar triangles is 35cm and 14cm respectively, and the difference between their girths is 60cm


∵ the ratio of the corresponding sides of a triangle is 35:14 = 5:2, and the ratio of the perimeter is equal to the similarity ratio. If the perimeter of a triangle is 5x, the perimeter of the other triangle is 2x, and the difference of the perimeter is 60cm, we get 5x-2x = 60, and the solution is: x = 20, ∵ the perimeter of the two triangles are 100cm and 40cm respectively



Given the product of two numbers 864, the greatest common divisor of the two numbers is 12, find the least common multiple
There should be a reason! There should be sufficient! It is urgent!


In two cases, the greatest common divisor of two numbers is 12 and the product is 864, so it must be the multiplication of a 12 and B 12, and 12 × 12 is 144864 / 144 = 6, then the product of AB must be 6a, which may be 1, B is 6, so that number 1 is 12, number 2 is 72, or a is 2, B is 3, so that 1 is 24, number 2 is 36, because a is 3, B is 2, repeated



Is it true that the tangent of a line is called the slope of the line?


The tangent value of the angle between a line and the positive half axis of the abscissa axis of a plane rectangular coordinate system is the slope of the line relative to the coordinate system. If the line is perpendicular to the X axis, the tangent value of the right angle is infinite



Isn't there only 40 words in unit 1 of English volume 1 of Grade 7?


Yes, ha
I'm in junior high school, too
I can be sure of that



One vertex of an equilateral triangle is at the origin of the coordinate, and the other two vertices are on the parabola
One vertex of an equilateral triangle is at the origin of the coordinate, and the other two vertices are on the parabola y square = 2px (P > 0). Find the side length of the triangle


There is no need to prove that symmetry is symmetric. Without symmetry, there can be no regular triangle,
Let the coordinates of the other two vertices be (T ^ 2 / 2p, t) and (T ^ 2 / 2p, - t) respectively, and then the coordinates can be obtained according to the distance formula between the two points