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1.2 Consider the linear graph g sketched below where n is natural numbers.: • (1:7) •(2;7,) • (3:7;) • (n; T,) 1.2.1 What is the domain and range of g? 1.2.2 Why is it reasonable to regard g as g(n) =T, ?

1.2 Consider the linear graph g sketched below where n is natural numbers.: • (1:7) •(2;7,) • (3:7;) • (n; T,) 1.2.1 What is the domain and range of g? 1.2.2 Why is it reasonable to regard g as g(n) =T, ?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 51E
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1.2 Consider the linear graph g sketched below where n is natural numbers.: T •(1;7) •(2;T) • (3:7;) • (n; T.) 1.2.1 What is the domain and range of g? 1.2.2 Why is it reasonable to regard g as g(n)=T, ?
Transcribed Image Text:1.2 Consider the linear graph g sketched below where n is natural numbers.: T •(1;7) •(2;T) • (3:7;) • (n; T.) 1.2.1 What is the domain and range of g? 1.2.2 Why is it reasonable to regard g as g(n)=T, ?
1.2.3 Determine the gradient between (a) (1;T,) and (2;T,) (b) (2;T,) and (3;T,) 1.2.4 What is the relationship between (a) and (b) in 1.2.3? 1.2.5 Write down an equation for the gradient of g between (1;T,) and (n;T,) 1.2.6 Make T, the subject of the formula in the equation you obtained in question 1.2.5 above. 1.2.7 If m the gradient in 1. 2.4 represent the difference d between any two consecutive terms and a represents T, rewrite the equation in terms of a and d
Transcribed Image Text:1.2.3 Determine the gradient between (a) (1;T,) and (2;T,) (b) (2;T,) and (3;T,) 1.2.4 What is the relationship between (a) and (b) in 1.2.3? 1.2.5 Write down an equation for the gradient of g between (1;T,) and (n;T,) 1.2.6 Make T, the subject of the formula in the equation you obtained in question 1.2.5 above. 1.2.7 If m the gradient in 1. 2.4 represent the difference d between any two consecutive terms and a represents T, rewrite the equation in terms of a and d
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