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Domain and Range
The domain of any equation is the set of all x's which we can plug in the equation & get back a real number for y. The range of any equation is the set of all y's which we can ever get out of the equation.
Note that we did mean to employ equation in the definitions above rather than functions. These are actually definitions for equations. Though, as functions are also equations we can employ the definitions for functions as well.
Finding the range of an equation/function can be pretty hard to do for various functions and thus we aren't going to actually get into that. Here we are much more interested in finding the domains of functions. From definition the domain is the set of all x's which we can plug in a function & get back a real number. At this instance, that means that we have to ignore division by zero and taking square roots of negative numbers.
Example Solve out the following system of equations. x 2 + y 2 = 10 2 x + y = 1 Solution In linear systems we had the alternative of using either method on any gi
2x squarex5x+9=0
(8x^3+6x^2-8x-15)+(4x-5)
Find out the symmetry of equations. y = x 2 - 6x 4 + 2 Solution First we'll check for symmetry around the x-axis. It
We'll begin this section by defining just what a root or zero of a polynomial is. We say that x = r is a root or zero of a polynomial, P ( x) , if P ( r )= 0 . In other terms x=
Achieve $225,500 at 8.75% compounded continuously for 8 years, 155 days
These are the only possibilities for solving quadratic equations in standard form. However Note that if we begin with rational expression in the equation we might get different so
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Please exclude the values in the denominator 5m2+m
How much of a 50% alcohol solution should we mix with 10 gallons of a 35% solution to get a 40% solution? Solution Let x is the amount of 50% solution which we need. It me
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