List the domain and the x- and y-intercepts of the following function. Determine the asymptotes and graph the function. Check your work using a graphing calculator. ²-16 f(x) = X + 1 The domain of the function is. (Type your answer in interval notation.) Find the x-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The x-intercept(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) CH OB. There is no x-intercept. Find the y-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The y-intercept(s) is/are (Type an ordered pair. Use comma to separate answers as needed.) OB. There is no y-intercept. Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The vertical asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed. Type each answer only once.) OB. There is no vertical asymptote. Find the horiztonal or oblique asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The horizontal or oblique asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed. Type each answer only once.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section: Chapter Questions
Problem 45SGR
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9

List the domain and the x- and y-intercepts of the following function. Determine the asymptotes and graph the function. Check your work using a graphing calculator.
x²-16
f(x) =
X + 1
The domain of the function is.
(Type your answer in interval notation.)
Find the x-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The x-intercept(s) is/are
(Type an ordered pair. Use a comma to separate answers as needed.)
EXD
OB. There is no x-intercept.
Find the y-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The y-intercept(s) is/are
(Type an ordered pair. Use a comma to separate answers as needed.)
OB. There is no y-intercept.
Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The vertical asymptote(s) is/are
(Type an equation. Use a comma to separate answers as needed. Type each answer only once.)
OB. There is no vertical asymptote.
Find the horiztonal or oblique asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The horizontal or oblique asymptote(s) is/are
(Type an equation. Use a comma to separate answers as needed. Type each answer only once.)
Transcribed Image Text:List the domain and the x- and y-intercepts of the following function. Determine the asymptotes and graph the function. Check your work using a graphing calculator. x²-16 f(x) = X + 1 The domain of the function is. (Type your answer in interval notation.) Find the x-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The x-intercept(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) EXD OB. There is no x-intercept. Find the y-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The y-intercept(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) OB. There is no y-intercept. Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The vertical asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed. Type each answer only once.) OB. There is no vertical asymptote. Find the horiztonal or oblique asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The horizontal or oblique asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed. Type each answer only once.)
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