GLOSSARY

THIRD TERM INPUT OUTPUT The act or process of producing; production. Real Life Example Input Output The number or value that is entered, for example, into a function machine. The number that goes into the machine is the input. When preparing a sandwich the input are the ingredients and the output is the sandwich. FUNCTION A relationship between two sets of numbers or other mathematical objects where each member of the first set is paired with only one member of the second set. Example Real Life Example When running, the more you run the more calories you burn. DIRECT FUNCTION every direct function is a linear function

the more/ the more the less/ the less Example Real Life Example Suppose for every hour you work you earn $2.000 pesos. Hour

1

2

3

4

5 Money

$2.000

$4.000

$6.000

$8.000

$10.000 So the more you work the more money you earn. INVERSE FUNCTION In mathematics, if ƒ is a function from a set A to a set B, then an inverse function for ƒ is a function from B to A, with the property that a round trip (a composition) from A to B to A (or from B to A to B) returns each element of the initial set to itself. Example Real Life Example Let f be the function that converts a temperature in degrees Celsius to a temperature in degrees Fahrenheit:

then its inverse function converts degrees Fahrenheit to degrees Celsius. LINEAR FUNCTION The term linear function can refer to either of two different but related concepts:

a first-degree polynomial function of one variable;

a map between two vector spaces that preserves vector addition and scalar multiplication.

The function derives its name from the fact that its graph is a straight line. Real Life Example the # of beers you drink depends on the # of football games you watch, if you drink 5 beers per game the function would be # for beers (b)= 5 times # of football games (f) or b=5F. QUADRATIC FUNCTION Any function who value is the solution of a quadratic polynomial. Example The graph of a quadratic function is a curve called a parabola. Real Life Example When an object is thrown or projected, it follows a curved path called a trajectory. If we neglect air resistance, and assume that the object is fairly dense, and that the object is close to the earth's surface,

the path could be described by:

H = vt + h -.5at^2.

H = the height of the object above its initial position (usually taken as the ground) after some elapsed time

v = the initial velocity of the object

t = the elapsed time

h = the initial height of the object above ground

a = the acceleration due to gravity: approximately 32 feet per second squared or 9.8 meters per second squared. CUBIC FUNCTIONS is referred to as a cubic function. We shall also refer to this function as the "parent" and the following graph is a sketch of the parent graph. Real Life Example put a bar of soft iron in a mild magnetic field. A slight magnetism is induced in the iron. As you increase the strength of the magnetic field slowly, the magnetism of the iron will increase slowly, but then suddenly jump up after which, as you still increase the strength of the magnetic field, it increases slowly again. If you now DECREASE the strength of the magnetic field, the magnetization will, of course, decrease slowly- PAST the strength at which is had suddenly jumped up. It will then suddenly jump down but at a point where the magnetic field is weaker than when it jumped up. E.e.s call that a "hysteresis loop". DOMAIN The domain of a function is the set of all possible input values (usually x), which allows the function formula to work. The range is the set of all possible output values (usually y), which result from using the function formula. RANGE Real Life Example DOMAIN RANGE BY: PAULINA ROJAS.

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# Glossary 7a 3rd/ Rojas

This glossary shows the concepts seen during the third bimester. Seventh A, Newman School

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