Daniela Salas

math models class

personal biography

-i was born in mexico but i came to the united states when i was 8 years old.

-i have attended castleberry isd sence i came to the united states.

-i only have one sister her name is linda salas.

-i have 4 dogs ( chikita, lapiz, , and oreo polvoron)

-i love my family and i love spending time with them.

-in my free time i love reading and listen to music.

-i want to become be a profecional chef.

Domain and Range

Domain

Domains:

is the set of all allowable values of the independent variable commonly known as the x-values. To find the domain, we need to identify particular values of x that can cause the function to misbehave and exclude them as valid inputs to the function. the Domain always stops when it touches a function. and the places where it stops mark the boundaries.

Range

is the set of output values when all x-values in the domain are evaluated into the function, commonly known as the y-values. This means that we need to find the domain first in order to describe the range. The Range always stops when it touches a function. and the places where it stops mark the boundaries.



parabola

we can plug any values of x into the function and it will produce a valid output. So we can safely say that its domain is all x values. This time however I need to be careful how to describe the range. Is it going to be all y values? Well, I don't think so, because I know this function is a parabola and one of its traits is having a high point (maximum) or a low point (minimum). To be safe I will first graph it.

what if the function has only 1 boundary?

functions that only has one boundary are the ones that continues up and to the right , and it only has 1 boundary. The radical function starts at y = 0 , and can go as high as it wants (positive infinity). You may think that this function grows slowly (slow increase in y values) However, you must consider that plugging in sufficiently large values of x can result to a very large output values of y.


More details

.Negative is less or equal to x which is less than two.

.which that means that x can be anything between 0 < x <6.

*the smaller value always goes fist.

Refining the Details

.Inequality symbols can be either < or <

< = less than

< = less or equal

.use < at a solid line or solid circle.

.use < at a dotted line or empty circle.

vocabulary

  • Domain: the domain of a function is the set of all possible input values (often the x variable) which produce a valid output from a particular function. it is the set of all real nunbers for which a funtion is matlematically difined.
  • Range: the range is the set of all possible output values (usualy the variable y or sometimes expressed as f(x) which results from using a particular function.
  • function: a relationship or expression involving one or more variables.
  • Boundaries: a line that marks the limits of an area; dividing line
  • inequelity: diference in size, degree, circumstamces, etc.
  • reasonable: reasonable does not exceed the origional numbers from a problem.

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