8. ABSOLUTELY LOGARITHMIC The following information is given about a logarithmic function and an absolute value function, named f and g respectively: alog₂ (x-h)+ k The logarithmic function is of the form f(x) = In addition, . The equation of the asymptote is x = 100 • The function passes through the points (116, 81) and (356, 87) The absolute value function is of the form g (x) = a |x-h| + k. In addition, • The absolute value function has a vertex of (1400,- 48). • f(x) = g(x) = 90 What is the y-intercept of the function g?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.3: Logarithmic Functions
Problem 105E
icon
Related questions
Question
8. ABSOLUTELY LOGARITHMIC
The following information is given about a logarithmic function and an absolute value function, named
f and g respectively:
alog(x-h) + k
The logarithmic function is of the form f(x) =
In addition,
• The equation of the asymptote is x = 100
• The function passes through the points (116, 81) and (356, 87)
The absolute value function is of the form g (x) = a |x-h| + k.
In addition,
• The absolute value function has a vertex of (1400,- 48).
• f(x) = g(x) = 90
What is the y-intercept of the function g?
Transcribed Image Text:8. ABSOLUTELY LOGARITHMIC The following information is given about a logarithmic function and an absolute value function, named f and g respectively: alog(x-h) + k The logarithmic function is of the form f(x) = In addition, • The equation of the asymptote is x = 100 • The function passes through the points (116, 81) and (356, 87) The absolute value function is of the form g (x) = a |x-h| + k. In addition, • The absolute value function has a vertex of (1400,- 48). • f(x) = g(x) = 90 What is the y-intercept of the function g?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage