1.01 Key Features Of Functions And Their Graphs
Question: What is the Rule of Correspondence known as?
Answer: A function
Question: Function
Answer: A function f from a set A to a set B is a rule of correspondence that assigns to each element x in the set A exactly one element y in the set B
Set A is the domain; B contains the range
Question: What is the First Characteristic of Functions?
Answer: For each value in the domain, there is only one corresponding value in the range
Question: What is the Second Characteristic of Functions?
Answer: All elements in the domain must be used
Question: What is the Third Characteristic of Functions?
Answer: More than one value in the domain can be matched with the same value in the range
Question: In algebra, what are expressions/formulas often represented by; what are the IV & DVs
Answer: Equations: y = 2x + 1
x is IV
y is DV
Question: Function Notation
Answer: an equation in the form of ‘f(x)=’ to show the output value of a function, f, for an input value x
Question: When is y a function of x?
Answer: When determining a range y based off of domain x values
Question: What is function notation denoted by?
Answer: y = f(x)
Question: Why is “y is a function of x” in functions true?
Answer: For each input x, there is only one output y