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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