Wiki User
∙ 9y agoWant this question answered?
Be notified when an answer is posted
No. Square root is not a proper function in the sense that, over the domain of negative and positive numbers, it is a one-to-many mapping. Strictly speaking the domain for square root is all non-negative or all non-positive numbers (or a subset of them). Consider the following mapping: Your mother is your parent, your father is your parent. But your mother is not your father.
yes
Let's illustrate with an example. The square function takes a number as its input, and returns the square of a number. The opposite (inverse) function is the square root (input: any non-negative number; output: the square root). For example, the square of 3 is 9; the square root of 9 is 3. The idea, then, is that if you apply first a function, then its inverse, you get the original number back.
The opposite (or inverse function) of the square root would be the square.
Yes, if your equation is f(x) = sqrt5(x). The square root is also a function itself, if that's what you mean.
x
The square root function is one of the most common radical functions, where its graph looks similar to a logarithmic function. Its parent function will be the most fundamental form of the function and represented by the equation, y =sqrt {x}.
y = x2
Any number in a square root goes the opposite direction. For example f(x)=sqrt (x-2). This would translate the graph 2 units to the right. If you have sqrt x and -2 outside of the square root the graph would have a virtical shift down 2 units. If there is a number in front of the square root such as -3sqrtx there is a vertical shrink across the x-axis because the number is less than 0. Finally, if there is a number in front of the x, but under the square root such as sqrt6x, it is a horizantal stretch across the y-axis because the number is greater than 0.
No. Square root is not a proper function in the sense that, over the domain of negative and positive numbers, it is a one-to-many mapping. Strictly speaking the domain for square root is all non-negative or all non-positive numbers (or a subset of them). Consider the following mapping: Your mother is your parent, your father is your parent. But your mother is not your father.
yes
Let's illustrate with an example. The square function takes a number as its input, and returns the square of a number. The opposite (inverse) function is the square root (input: any non-negative number; output: the square root). For example, the square of 3 is 9; the square root of 9 is 3. The idea, then, is that if you apply first a function, then its inverse, you get the original number back.
The area of a square is a function of the perimeter of the square.
To find transformations in an equation, you can look for changes in the coefficients and constants that affect the position, size, or shape of the graph. For example, a coefficient before the x term will affect the stretch or compression of the graph, while a constant added or subtracted will affect the vertical shift. Additionally, changes inside functions (such as squaring or square rooting) can also indicate transformations.
x2+y2=1 : parent function in y form: y=-+(square root)(x2+1) to graph you need two diffrent equations one in positive form the other in negitive.
The opposite (or inverse function) of the square root would be the square.
The potential can be calculated from the wave function using the Schrödinger equation, where the potential energy operator acts on the wave function. This involves solving the time-independent Schrödinger equation to find the potential energy function that corresponds to the given wave function. The potential can be obtained by isolating the potential energy term on one side of the equation.