Students can use the Spectrum Math Grade 8 Answer Key Chapter 4 Lesson 4.1 Defining Functions as a quick guide to resolve any of their doubts.
Spectrum Math Grade 8 Chapter 4 Lesson 4.1 Defining Functions Answers Key
A function is a relationship between two variables which results in only one output value for each input value. If one input has more than one output, then a function does not exist.
This table represents a function because for every input variable, there is one and only one output variable.
This table does not represent a function because one of the input variables has more than one output variable.
Decide if each table represents a function by stating yes or no.
Question 1.
a.
_________
Answer:
Yes,
Explanation:
A function is a relationship between two variables which results in only one output value for each input value.
out put = input + x
c = – 9 + x
c = – 5 + x
b = 1 + x
a = 6 + x
b.
_________
Answer:
Yes,
Explanation:
A function is a relationship between two variables which results in only one output value for each input value.
out put = input + 2
4 = 2 + 2
6 = 4 + 2
8 = 6 + 2
c.
_________
Answer:
No,
Explanation:
This table does not represent a function because one of the input variables has more than one output variable.
In out put two variables are there for single input.
Question 2.
a.
_________
Answer:
No,
Explanation:
This table does not represent a function because one of the input variables has more than one output variable.
In out put two variables are there for single input.
b.
_________
Answer:
Yes,
Explanation:
A function is a relationship between two variables which results in only one output value for each input value.
out put = input
1 = c = 1
5 = a = 5
8 = b =8
c.
_________
Answer:
No,
Explanation:
This table does not represent a function because one of the input variables has more than one output variable.
In out put two variables are there for single input.