Consider the logarithmic equation y = 1 – In (4 – x). (a) The domain of this function is 1, help (inequalities) (b) Determine whether its graph has a horizontal asymptote or a vertical asymptote. In each answer blank enter an equation z = k or y = k for some number k, or, enter NONE if its graph does not have that type of asymptote. The graph has a vertical asymptote with equation 2, help (equations) The graph has a horizontal asymptote with equation , help (equations) (c) Determine whether its graph has an æ-intercept or a y-intercept. In each answer blank enter a point (a, b) including parentheses, or, enter NONE if its graph does not have that type of intercept. Enter exact answers, not decimal approximations. The graph has an x-intercept at the point 1. help (points) The graph has a y-intercept at the point help (points)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...
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Consider the logarithmic equation y = 1 – In (4 – æ).
(a) The domain of this function is
help (inequalities)
(b) Determine whether its graph has a horizontal asymptote or a vertical asymptote. In each answer blank enter an equation x = k or y = k for some number k, or, enter NONE if its graph
does not have that type of asymptote.
The graph has a vertical asymptote with equation
help (equations)
The graph has a horizontal asymptote with equation
, help (equations)
(c) Determine whether its graph has an æ-intercept or a y-intercept. In each answer blank enter a point (a, b) including parentheses, or, enter NONE if its graph does not have that type of
intercept. Enter exact answers, not decimal approximations.
The graph has an x-intercept at the point
help (points)
The graph has a y-intercept at the point
help (points)
Transcribed Image Text:Consider the logarithmic equation y = 1 – In (4 – æ). (a) The domain of this function is help (inequalities) (b) Determine whether its graph has a horizontal asymptote or a vertical asymptote. In each answer blank enter an equation x = k or y = k for some number k, or, enter NONE if its graph does not have that type of asymptote. The graph has a vertical asymptote with equation help (equations) The graph has a horizontal asymptote with equation , help (equations) (c) Determine whether its graph has an æ-intercept or a y-intercept. In each answer blank enter a point (a, b) including parentheses, or, enter NONE if its graph does not have that type of intercept. Enter exact answers, not decimal approximations. The graph has an x-intercept at the point help (points) The graph has a y-intercept at the point help (points)
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