Functions on a Cartesian Plane
Key Questions

Answer:
There is a procedure to graph a function.
Explanation:

Define the domain and codomain

Find the intersection between function and xaxes:
solve#f(x)=0# 
Calculate the first derivative and its intersection with xaxes:
#f'(x)=0# . This points are called extrema, geometrically represent the points where the tangent of the function is horizontal. This mean that the function reach its minimum or maximum or stationary points. 
Calculate the second derivative and its intersection with xaxes:
#f''(x)=0# . This points (inflection point) are points on a curve at which the curve changes from being concave to convex or vice versa.
if#f''(x)>0 # the function is convex (is smiling)
if#f''(x)<0 # the function is concave (is sad)


Answer:
See explanation below
Explanation:
#(x,y)# is a pair of real numbers. The meaning is:#(x,y)# is an ordered pair of numbers belonging to#RRxxRR=RR^2# . The first pair memeber belongs to the first set#RR# and the second belongs to second#RR# . Althoug in this case is the same set#RR# . Could be in other cases#RRxxZZ# or#QQxxRR# #(x,y)# has the meaning of an aplication from#RR# to#RR# in which to every element x, the aplication asingns the y element.#(x,y)# has the meaning of plane's point coordinates. The first x is the horizontal coodinate (abscisa) and second is the vertical coordinate (ordenate). Both are coordinates.#(x,y)# has the meaning of a complex number: x is the real part and y is the imaginary part:#x+yi# #(x,y)# has the meaning of a plane's vector from origin of coordinatesetc...
You will see that meaning of
#(x,y)# could be whatever of above depending of context, but if you think a little bit, all meanings are quite similarHope this helps
Questions
Expressions, Equations, and Functions

Variable Expressions

Expressions with One or More Variables

PEMDAS

Algebra Expressions with Fraction Bars

Patterns and Expressions

Words that Describe Patterns

Equations that Describe Patterns

Inequalities that Describe Patterns

Function Notation

Domain and Range of a Function

Functions that Describe Situations

Functions on a Cartesian Plane

Vertical Line Test

ProblemSolving Models

Trends in Data