math models class
-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.
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.
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.
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.
.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.
- 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.