General Mathematics - 1st Session Examination Flashcards
It is an equation in two variables x and y, where the variable y may be expressed as f(x) if every value of x corresponds to a single value of y.
Function
This denotes equality between two expressions.
Equations
What type of function is defined on a sequence of intervals?
Piecewise function
How will you read x → 2x + 5
x is mapped to 2x + 5
It is a set of numbers grouped with each other that may or may not represent a pattern.
Relation
In this type of relation, some values of x are associated with more than one value of y.
One-to-many correspondence
Which of these tests can be used to determine if a graph represents a function?
Vertical line test
Has at least one value of y which is associated with more than one value of x.
Many-to-one
How do we evaluate a function?
By substituting the given value of the variable and simplifying the resulting expression.
It is a tool that helps determine points which can be used in creating a graph.
Table of values
Function is the set of all values of the independent variable x that have corresponding values of the dependent variable y.
Domain
It contains all values that go into the function.
Domain
a function is the set of all values of y that can be obtained from the possible values of x.
Range
It contains all possible values of the function.
Range
It is a function defined in the form of an equation whose degree is greater than 2.
Polynomial function
What is the range of y = 2x + 3?
Set of real numbers
What is the domain of f(x)=x2+5x−3
Set of real numbers
Each value of is unique and is associated with a unique value of .
One-to-one correspondence
Two or more values of are associated with the same value of y
Many-to-one correspondence
Some values of are associated with more than one value of y
One-to-many correspondenc
Some values of both and are associated with more than one value of their
counterpart
Many-to-many correspondenc
It has a degree of 1 and its graph is a straight line.
Linear function
It has a degree of 2 and its graph is a parabola.
Quadratic Function
It is the ratio of two polynomials.
Rational Function
What can be done if the divisor (or one of its factors) is a factor of the dividend function?
Factor it out and cancel
What do you call the process of combining functions, where the output of one function is used as the input of the other function?
Composition of functions
is a line that a curve approaches, but does not intersect
asymptote
a fraction whose numerator and denominator are both polynomials
rational expression
an equality that contains at least one rational expression
rational equation
makes some of the quantities in the equation undefined
extraneous solution or extraneous root
uses any of the symbols >, <, etc, and contains at least one rational expression.
Rational inequalities
rational expression is a number that makes the expression undefined or equal to zero
Critical value
What do you call an equation that contains one or more expressions in fractional form?
Rational equation
What do you call an equation that contains one or more expressions in fractional form?
Rational equation
Which of the following should be determined when adding and subtracting rational expressions with different denominators?
Least common denominator (LCD)
It is a value obtained when solving rational equations, but it makes the equation false or makes some of its expressions undefined.
Extraneous solution
