These questions are about the function f(x) = (x-2)/(x-7)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.1: Functions And Function Notation
Problem 27E: Assume that all variables represent real numbers. Determine whether each equation determines y to be...
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These questions are about the function f(x) = (x-2)/(x-7)

Identify any intervals of increase, decrease, and intervals where the function is concave up and concave down. Then, identify any
horizontal or vertical asymptotes of f.
(For any interval, give your answer as an interval in the form (*,*). Use the symbol o for infinity, U for combining intervals, and
an appropriate type of parentheses "(",")", "[", or "]" depending on whether the interval is open or closed. Express numbers in
exact form. Use symbolic notation and fractions where needed. Enter DNE if no such interval exists. Enter asymptotes as a
comma-separated list of equations in terms of y and x. Enter DNE if no such asymptotes exist.)
f is increasing on:
f is decreasing on:
f is concave up on:
f is concave down on:
f has horizontal asymptote(s):
Transcribed Image Text:Identify any intervals of increase, decrease, and intervals where the function is concave up and concave down. Then, identify any horizontal or vertical asymptotes of f. (For any interval, give your answer as an interval in the form (*,*). Use the symbol o for infinity, U for combining intervals, and an appropriate type of parentheses "(",")", "[", or "]" depending on whether the interval is open or closed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such interval exists. Enter asymptotes as a comma-separated list of equations in terms of y and x. Enter DNE if no such asymptotes exist.) f is increasing on: f is decreasing on: f is concave up on: f is concave down on: f has horizontal asymptote(s):
f has vertical asymptote(s):
Transcribed Image Text:f has vertical asymptote(s):
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