Section 3.1 Flashcards
Concepts and Skills for Exam 2
What is the definition of a function?
A function is a relation in which input is assigned to a unique output.
Given a relation (as a written description, as a table, or as a formula), how can you tell if it is a function?
When given a relation you can tell it is a function when each input has ONE unique output.
ex.) which relation is a function? f(x)=x^2 or f(x)=y^2+x^2
How do you read and write function notation?
Name of the function(input)=output
ex.) g(x)= 22x+45
a.) Given a function and an input, how do you find the output?
b.)Given an output of a function how do you find its input?
a.) When given the input and rule of the function, find the corresponding output.
b.)
What makes a function one to one?
A function is one to on when each input corresponds to exactly ONE output.
How do you use the vertical line test to decide whether a curve represents a function?
The vertical line test can be used on the graph of a curve and is a function when the line intersects at one point ONLY.
How would you use the horizontal line test to determine whether a function is one to one?
the horizontal line test can be used on the graph of a function and is one to one if every horizontal only intersects with the graph ONCE.
a.) Given a function, how do you simplify a function from DQ 1 & 2?
b.) Name DQ1 and DQ2
a.)When simplifying the difference quotient, combine like terms, distribute necessary terms, and divide out common factors.
b.) DQ 1: f(b)-f(a)/b-a
DQ 2: f(x+h)-f(x)/h
Sketch the 9 graphs of the commonly used functions and state their names.
Constant function, Identity Function, Absolute Value Function, Squaring Function, Cubing Function, Reciprocal Function, Square of Reciprocal Function, Square Root Function, Cube Root Function.
