genmath Flashcards
is a set of ordered pairs
relation
what are the kinds of relations?
-one to one
-one to many
-many to one
is a rule that pairs each element in one set
function
is used to determine if a given graph represents a function
vertical line test
is a function that is defined by two or more equations where each equations applies to a certain interval over specified domain
piecewise function
a process of calculating the value of a function (y) for given values of x
evaluating functions
in evaluating function, the y is the 1. ____ variable while the x is the 2. ____ variable
- dependent
- independent
the process is done by substituting the numerical values of x to the given function
evaluating function
an equality involving rational expressions that contains an inequality symbol: <, >, ≤,or ≥
rational inequality
product - ?
sum - ?
quotient - ?
difference - ?
-multiplication
-addition
-division
-subtraction
how to know if the rational inequality is solution?
has…
-shaded
-≤ or ≥
-uses square bracket []
how to know if the rational inequality is not solution?
has…
-not shaded
-< or >
-uses parentheses ()
cite the rational inequality steps
- write the inequality in standard form
- find the critical numbers for f(x) by establishing the zero of f(x) and excluded values for f(x)
- plot the critical numbers on the number
- solve for the best values of x in f(x). make a table signs
- write down the answer that satisfies the inequality
how do you read this?
.:SS:{x|x < -1 or 0 < x < 2}
therefore, the solution set for the given inequality is set of x such that x is less than -1 or 0 IS less than x but less than 2