MATH105
MATH105
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Topics
Basic Algebra
Functions
Domain and Range
Limits
Derivatives
Higher-Order Derivatives
Implicit Differentiation
Finding the Slope
Equation of Tangent Line and Normal Line
Minima and Maxima
Application of Calculus in Business
About
Home
Topics
Basic Algebra
Functions
Domain and Range
Limits
Derivatives
Higher-Order Derivatives
Implicit Differentiation
Finding the Slope
Equation of Tangent Line and Normal Line
Minima and Maxima
Application of Calculus in Business
About
DOMAIN AND RANGE
DEFINITION
Domain of a function
is the totality of all possible of x.
Range of a function
is the totality of all possible of y.
INTERVAL NOTATIONS
[a, b] closed interval a ≤ x ≤ b
(a, b) open interval a < x < b
[a, b) half-open to the right a ≤ x < b
(a, b] half-open to the left a < x ≤ b
INFINITE INTERVALS
[a, +∞), x ≥ a
(a, +∞), x > a
(-∞, b], x ≤ b
(-∞, b), x < b
(-∞, +∞), all real numbers
EXAMPLES