The coefficient is a count of the number of molecules of each substance in a chemical process. The subscript is the number of atoms of an element in each molecule.
dunctions are not set equal to a value
y = ax, where a is some constant, is an exponential function in x y = xa, where a is some constant, is a power function in x If a > 1 then the exponential will be greater than the power for x > a
Assuming the function is linear, the direction of the function can be determined by the coefficient's sign:[y = mx + b]Where m is the coefficient of x, if m is negative, then the function is increasing. If m is positive, the function is decreasing (this relationship is rather complicated and requires advanced calculus to prove).
Generally, the derivative to a linear equation (in the form "ax + b") is the constant that is being multiplied by x (in "ax + b", this would be "a"). This is because a derivative gives the slope of a function, and the slope of a linear function is the coefficient next to x. So, in this case, (7x)' = 7.
A polynomial equation of order >1 that is, where the power of the variable is greater than 1 is a non linear function. A transcendental function is one that cannot be expressed as a finite number of algebaraic operations (addition, multiplication, roots). The exponential and trigonometric functions (and their inverses) are examples.
ewan ko
dunctions are not set equal to a value
y = 4x + 2 It has a slope (gradient) or 4. The slope/gradient of a linear function is simply the number in front of the x when the equation is in the form y=mx+b. (the coefficient of x).
eg. O2 (where the 2 is subscript) This shows that there are TWO INTRAMOLECULARLY-BONDED atoms, ie. two atoms joined together. Or, if you are referring to (g), (l), (s) and (aq) subscripts: (s) - solid (g) - gas (l) - liquid (aq) - aqueous, or dissolved in water
A linear equation IS a function. A function can look like X2+X+C, or X3+0, or X+Y+C, or many other ways. The function X+Y+C is a function in two variables, and can be a linear equation.
y = ax, where a is some constant, is an exponential function in x y = xa, where a is some constant, is a power function in x If a > 1 then the exponential will be greater than the power for x > a
You can tell if an equation is a function if for any x value that you put into the function, you get only one y value. The equation you asked about is the equation of a line. It is a function.
The amplitude of a wave is the maximum displacement of a wave from its equilibrium position. It is represented by the height of the wave on a graph or by the maximum value of the wave function itself. In a wave equation, the amplitude can be explicitly identified as a coefficient multiplying the trigonometric function.
Assuming the function is linear, the direction of the function can be determined by the coefficient's sign:[y = mx + b]Where m is the coefficient of x, if m is negative, then the function is increasing. If m is positive, the function is decreasing (this relationship is rather complicated and requires advanced calculus to prove).
Generally, the derivative to a linear equation (in the form "ax + b") is the constant that is being multiplied by x (in "ax + b", this would be "a"). This is because a derivative gives the slope of a function, and the slope of a linear function is the coefficient next to x. So, in this case, (7x)' = 7.
a function rule
A polynomial equation of order >1 that is, where the power of the variable is greater than 1 is a non linear function. A transcendental function is one that cannot be expressed as a finite number of algebaraic operations (addition, multiplication, roots). The exponential and trigonometric functions (and their inverses) are examples.