General Math Definitions #1 Flashcards
Is an algebraic expression that contains exactly one
term.
Monomial
Is the sum of one or more monomials.
Polynomial
Polynomial with one term
monomial
has the same output value no matter what your input value is. It has a form of f(x) = b, where b is a constant (a single value that does not change)
Constant Function
f(x) = b
Constant Function
Is a function that returns the same value which was used as its argument.
F(x)=x; for all values of x
Identity Function
F(2)=2 (x=2)
Identity Function
Y=7
Constant Function
Is defined by y = a0 + a1 + a2 … + anx
polynomial function
A polynomial function in the first degree.
It is in the form y=mx+b
Linear Function
y = 2x + 5
Linear Function
A polynomial function in the second degree
y = ax2 + bx + c
Quadratic Function
y = 3x^2 + 2x + 5
Quadratic Function
A polynomial of degree three and can be denoted by
f x = ax^3 + bx^2 + cx + d
Cubic Function
f x = ax^3 + bx^2 + cx + d
Cubic Function
f x = 5x^3 + 2x^2 + 3x + 6
Cubic Function
A polynomial function in the form y = ax^b
Power Function
y = ax^b
Power Function
f x = 8x^5
Power Function
A function that can be represented by p(x)
q(x) in which numerator,p(x) and the denominator, q(x) are polynomial functions of x, where q(x)≠0
Rational Function
f x =x2 − 3x + 2/ x2 − 4 «fraction»
Rational Function
They are functions of the form:
y = abx
where x = is an exponent
a and b = constants
Exponential Function
y = 2^x
Exponential Function
Are inverses of exponential functions, and any exponential function can be
expressed in logarithmic functions. It is written in the form:
y = logbx ; x > 0
Where b>0 and b≠1
Logarithmic Function
y = log749
Logarithmic Function
Absolute value of any number “c” is represented in the form of |c|. It is in
the form:
f x = |x|
Absolute Value Function
f x = x − 4 + 2
Absolute Value Function
Is any set of ordered pairs
Relation
set of all first elements of the ordered pair
Domain
Can be used if there is more than one
the formula required to obtain an output.
Piecewise Function
One-to-many correspondence is an example of a function. «True or false»>
False
Input is the dependent variable while the output is the «True or false»
False
Is also called a “function of functions”
Composite Function
If a function is substituted to all variables in another
function, you are performing a _________ to
create another function.
composition of function
If the vertical line test passed the graph more than once at
most times, it is still considered as a function. «True or False»
False
The vertical line test is used to determine which graph is a
relation or not. «True or false»
False
____________ is used to determine which graph is a
function or not.
The Vertical Line Test
A function is a set of ordered pairs. «True or false»
True
All function sets are considered as relation sets. «True or false»
True
