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How are solution and x-intercept and zero of a function and and root related?
Wiki User
∙ 13y ago
solutions are the well solution to the problem. X-intercepts are wherever a graph cross the x axis, which are hte solutions when you have to find out what x is, zeros are pretty much the same thing although i think that include y-intercepts as well..... not sure. and roots are the same thing as x-intercepts. so they are all more or less the same thing
Wiki User
∙ 13y ago
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How many x intercepts can a quadratic function have?
For a quadratic function, there is one minimum/maximum (the proof requires calculus) and also it is either always convex or concave (prove is also calculus) it is continuous every where, hence, it can have a maximum of 2 roots. Graph it. If there is more than 2 roots, by Intermediate Value Theorem, it cannot be convex/concave everywhere. It will HAVE to have two intervals of increasing or decreasing. It can be easily proven that given any quadratic function f(x), if x = x0 is a minimum/maximum, and x=a != x0 is a root, then 2x0-a is also a root. It is still true that a = x0 as 2x0-x0=x0 implying it is the only root. But the concept of min/max requires Calculus to prove existence. So, this is Calculus, not algebra.
What type of function can be used to determine side length of a square?
If you know the area of a square, the length of a side is the square root of area. L = Length of Side A= Area L2 = A so... L = A0.5
Square root of 80 over 125?
sq. root of (80/125)= sq. root of [(9)(2)(5)/(25)(5)]= (sq. root of 9)(sq. root of 2)/sq. root of 25= (3/5)sq. root of 2
Is the graph of a circle a function?
Yes, the graph of a circle is a function. Recall, in a circle, that x2 + y2 = r2, for circles at the origin, though you could offset it any place you want by making the equation more complex. Solving for y, you get y = square root(r2 - x2). Since square root, by definition, has two values, the plus value and the minus value, this is a function, even though each x has two values for y, within the domain of +/-R.Some people might say that the graph of a circle is not a function, because it violates the single value test, i.e. if you draw a vertical line within the domain of the function, you get more than one value. In fact, however, if you convert the equation from cartesian coordinates to polar coordinates, you pass the single value test, i.e. R is constant for every theta.
What is the square root of 8 in radical form?
To get the square root of 8, you have to multiply the root of 2 and the root of 4. The root of 4 then simplifies to 2, so the square root of 8 equals 2 times the square root of 2.
What is the difference between root and solution?
A root is the solution of the equation when one side (usually the Right Hand Side) is set equal to 0.To take very simple examples, x = 3 isthe solution of 2x = 6 orthe root of 2x - 6 = 0
Why is moisture in the soil essential for proper root function?
Because all nutrients are taken up in solution.
Why does it matter if the root is in a hypertonic or hypotonic solution?
If the root is in hypotonic solution then the root will remain turgid. If placed in a hypertonic solution then the root will become flaccid over time.
What does root mean in mathmatical terms?
This has various related meanings. (1) A square root, cubic root, etc. (2) A solution to an equation. (3) The value for which an expression - for example, a polynomial - is equal to zero.
What is the difference between the root of an equation and the solution of an equation?
Root means solution in this context.
Whbat is the function of the root cap?
The function of the root cap is to protect and cover the growing tip of the root.
What is the function of the root cap epidermis and root hair?
Root cap epidermis's function is protection while that of root hair is absorption .
What is the root word of function?
Good that you thought of it... unfortunately there is no root word of function... because if you think of it for a long time... function is word...so there's no word go with function, so, if you say functional, the root or base word is function. :):
How can a new function be created by composing two existing functions?
You use the output of the first function as the input of the second function. For example, if your functions are sin() (the sine function) and root() (the square root function), you can combine them as:sin(root(x)) or: root(sin(x))
What is the function of specialization?
it is the root
What is the function of ginger?
it is the root
What is the root of malfunction?
function
