Explanation Given: The given function as, f ( x ) = 0 if x ∈ { 0 , 1 , 2 , 3 } , and f ( x ) = 3 if x ∉ { 0 , 1 , 2 , 3 } Approach: A function is relation in which every input is associated with a single output and there are many types of function like, one-one, on-to etc. Calculation: Consider the function as, f ( x ) = 0 if X ∈ { 0 , 1 , 2 , 3 } , and f ( x ) = < To determine (b) The function “ f ( x ) = 0 for all x ∈ R and f ( x ) = 1 if x ∈ { 3 , 4 , 5 , 6 , … } ”from the set of real numbers, R , or a subset of R , to R . To determine (c) The function “ { ( x , y ) | y = | x | } ”from the set of real numbers, R , or a subset of R , to R . To determine (d) The function “ { ( x , y ) | x = y 2 } ”from the set of real numbers, R , or a subset of R , to R .

A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)

13th Edition

ISBN: 9780135183885

Author: Rick Billstein, Shlomo Libeskind, Johnny Lott, Barbara Boschmans

Publisher: PEARSON

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Question

Chapter 8.3B, Problem 5A

To determine

(a)

The function “f(x)=0 if x∈{0,1,2,3}, and f(x)=3 if x∉{0,1,2,3}”from the set of real numbers, R, or a subset of R, to R.

To determine

(b)

The function “f(x)=0 for all x∈R and f(x)=1 if x∈{3,4,5,6,…}”from the set of real numbers, R, or a subset of R, to R.

To determine

(c)

The function “{(x,y)|y=|x|}”from the set of real numbers, R, or a subset of R, to R.

To determine

(d)

The function “{(x,y)|x=y2}”from the set of real numbers, R, or a subset of R, to R.

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Chapter 8.3B, Problem 4A

Chapter 8.3B, Problem 6A

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Chapter 8 Solutions

A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)

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(a) The function “ f ( x ) = 0 if x ∈ { 0 , 1 , 2 , 3 } , and f ( x ) = 3 if x ∉ { 0 , 1 , 2 , 3 } ”from the set of real numbers, R , or a subset of R , to R .

Solution Summary: The author analyzes the function f(x)=0ifTextX in a set of real numbers.

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(a)

The function “f(x)=0 if x∈{0,1,2,3}, and f(x)=3 if x∉{0,1,2,3}”from the set of real numbers, R, or a subset of R, to R.

(b)

The function “f(x)=0 for all x∈R and f(x)=1 if x∈{3,4,5,6,…}”from the set of real numbers, R, or a subset of R, to R.

(c)

The function “{(x,y)|y=|x|}”from the set of real numbers, R, or a subset of R, to R.

(d)

The function “{(x,y)|x=y2}”from the set of real numbers, R, or a subset of R, to R.

Want to see the full answer?

Chapter 8 Solutions

(a) The function “ f ( x ) = 0 if x ∈ { 0 , 1 , 2 , 3 } , and f ( x ) = 3 if x ∉ { 0 , 1 , 2 , 3 } ”from the set of real numbers, R , or a subset of R , to R .

Solution Summary: The author analyzes the function f(x)=0ifTextX in a set of real numbers.

Concept explainers

Videos

(a) The function “f(x)=0 if x∈{0,1,2,3}, and f(x)=3 if x∉{0,1,2,3}”from the set of real numbers, R, or a subset of R, to R.

(b) The function “f(x)=0 for all x∈R and f(x)=1 if x∈{3,4,5,6,…}”from the set of real numbers, R, or a subset of R, to R.

(c) The function “{(x,y)|y=|x|}”from the set of real numbers, R, or a subset of R, to R.

(d) The function “{(x,y)|x=y2}”from the set of real numbers, R, or a subset of R, to R.

Want to see the full answer?

Chapter 8 Solutions

(a)

The function “f(x)=0 if x∈{0,1,2,3}, and f(x)=3 if x∉{0,1,2,3}”from the set of real numbers, R, or a subset of R, to R.

(b)

The function “f(x)=0 for all x∈R and f(x)=1 if x∈{3,4,5,6,…}”from the set of real numbers, R, or a subset of R, to R.

(c)

The function “{(x,y)|y=|x|}”from the set of real numbers, R, or a subset of R, to R.

(d)

The function “{(x,y)|x=y2}”from the set of real numbers, R, or a subset of R, to R.