14. The factory sales f (in millions of dollars) of digital cameras in the US from 1998 through 2003 are shown in the table below. The time t (in years) is given with t = 8 corresponding to 1998. Year, t 8 Sales, f(t) 519 9 1209 a) Does f¹(t) exist? 10 1825 11 1972 12 2794 13 3421

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
icon
Related questions
Question
14. The factory sales f (in millions of dollars) of digital cameras in the US from 1998
through 2003 are shown in the table below. The time t (in years) is given with t = 8
corresponding to 1998.
Year, t
8
Sales, f(t) 519
9
1209
10
1825
11
1972
12
2794
13
3421
a) Does f(t) exist?
b) If f(t), what do the variables represent in the inverse function?
c) If f(t) exists, find ƒ -¹(1825)
d) If the table was extended to 2004 and if the factory sales of digital cameras for
that year was $2794 million, would f(t) exist?
Transcribed Image Text:14. The factory sales f (in millions of dollars) of digital cameras in the US from 1998 through 2003 are shown in the table below. The time t (in years) is given with t = 8 corresponding to 1998. Year, t 8 Sales, f(t) 519 9 1209 10 1825 11 1972 12 2794 13 3421 a) Does f(t) exist? b) If f(t), what do the variables represent in the inverse function? c) If f(t) exists, find ƒ -¹(1825) d) If the table was extended to 2004 and if the factory sales of digital cameras for that year was $2794 million, would f(t) exist?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning