FUNCTIONS Flashcards
Functions are denoted by SYMBOLS.
True
f: A → B is read as “f is a function from A AND B”
False, “f is a function from A INTO B”
The set of all image values is called the RANGE or IMAGE OF F.
True
A function can be expressed by means of an ARITHMETIC formula
False, MATHEMATICAL
f(x) = x
In this notation, x denotes the function and f is called the variable.
False, x is called the variable and f denotes the function
x ↦ x^2
In this notation, x is called the DEPENDENT variable and y is called the INDEPENDENT variabe.
False, In this notation, x is called the INDEPENDENT variable and y is called the DEPENDENT variabe.
barred arrow ↦ is read “goes into”
True
y = x^2
In this notation, x is called the INDEPENDENT variable and y is called the DEPENDENT variable
True
Two real-valued functions with the same domain CANNOT be added and multiplied.
False, CAN
The inverse function of f is denoted by f^-1. Hence, f^-1 (a) = b when f(a) = b
False, f^-1 (b) = a when f(a) = b
The compositions of f and g, denoted by f ○ g, is defined by
(f ○ g)(a) = f(g(a))
True
the floor of x denotes the LEAST integer that does not exceed x.
the ceiling of x denoted the GREATEST integer that is not less than x.
False
the floor of x denotes the GREATEST integer that does not exceed x.
the ceiling of x denoted the LEAST integer that is not less than x.
The integer value of x, written INT(x), converts x into an integer by DELETING (TRUNCATING) the fractional part of a number.
True
The absolute value of the real number x, written ABS(x) or |x|, is defined as the greater of x or -x.
True
Let k be any integer and let M be a NEGATIVE integer
False, POSITIVE
k (mod M), denotes the integer remainder when k is divided by M.
True
Logarithms are NOT related to exponents.
False, they are related
