algebra question...??? (not a problem, but a definition)?

Question

what does it mean when your learning about domain and range when it says next to a graph

"The domain of F(x) is x -6"

or if it says

"The range of F9x) is x -6"?

i do not understand on a graph what it means....o.o

oh, its algebra 2 if that helps anyone

oh! there is a sign that didn't show up between the x and the -6, that sign looks like this > but with a line underneath of it =)

Answer 1

by the way, that sign is read: "greater than or equal to"

The domain of a function is the set of values (x) for which the function F(x) is defined. For example, the domain of your equation above is all values of x that keeps your F(x) function defined. Say your F(x) needs to be greater than or equal to 0; your domain for your F(x) function would be all x's greater than or equal to 6. Make sense?

The range of the function is the set of all ouput values of the function for a given domain. Simply put, on a x-y graph, the domain is the x value and the range is the y value.

It's hard to explain online, but I hope this helps you.

Answer 2

A function is a means to get a final value, when you are given a starting value.

A function of x means that the starting value is given by x.
Usually has the form of
f(x) = some equation.

f(3) means "the value of the function when x=3"

A domain is the set of all values that x can take. Sometimes the domain is restricted by some feature of the equation (for example, with real numbers, if the function includes a square root of x, then x cannot be negative).
At other times, because of the nature of the problem, the domain can be restricted by other requirements.

(e.g., an equation describing how liquid water behaves under normal conditions would be useless if the temperature is well below 0C or well above 100C).

The range is the set of values that the function can take (the final value).

For example, if the function (in real numbers) is the square of x
f(x) = x^2
then the final value will never be negative, whatever you do to the value of x.

Domain >= -6 (the domain is greater than or equal to -6) means that you are only allowed to use values of x of -6 or greater than -6.

Range >= -6 means that whatever you choose for the value of x (in the domain), the final value cannot be less than -6.

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On a graph, where the x axis is horizontal and the f(x) axis is vertical:

draw a vertical line at x = -6
The Domain is any value of x higher than -6 (the area to the right of x=-6, if your axis grows towards the right).

draw a horizontal line at f(x) = -6
The range is any value of f(x) higher than -6 (the area above f(x)=-6 if your axis grows upwards).

You can shade the area that is both to the right and upwards from the two lines: this is where your function is defined.

Answer 3

Perimeter of a rectangle = 2l + 2w 2l + 2w = 102 l = 3 m + 2w 2l = 2(3 m + 2w) 2( 3 + 2w) + 2w = 102 6 + 4w + 2w = 102 6w = ninety six w = ninety six/6 = sixteen l = 3 + 2(sixteen) = 35 information: Perimeter of a rectangle = 2l + 2w 2l + 2w = 102 2(35) + 2(sixteen) = 70 + 32 = 102 for this reason: l = 35 , w = sixteen good success!!!

Answer 4

it is the domain inwhich has the given definition