Use the given function and its derivatives to ansvwer the questions. Then sketch the graph. F(x) for – 6)(x + 6) F'(x) F"(x) = 4 (a) State the domain of f(x). (Enter your answer using interval notation.) (b) State the y-intercept of f(x). (If an ansvwer does not exist, enter DNE.) ([ (c) State the open interval(s) where fx) is increasing. (Enter your ansver using interval notation.) (d) State the open interval(s) where f(x) is decreasing. (Enter your answer using interval notation.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 49PFA
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(h) State the open interval(s) where fx) is concave down. (Enter your answer using interval notation.)
(1) State any inflection points of f(x). (If an answer does not exist, enter DNE.)
(x, y) =
G) State any vertical asymptotes of f(x). (Enter your answer as a comma-separated list of equations. If an ansvwer does not exist, enter DNE.)
(k) State any horizontal or oblique (slant) asymptotes of f(x). (Enter your ansvwer as a comma-separated list of equations. If an answer does not exist, enter DNE.)
Transcribed Image Text:(h) State the open interval(s) where fx) is concave down. (Enter your answer using interval notation.) (1) State any inflection points of f(x). (If an answer does not exist, enter DNE.) (x, y) = G) State any vertical asymptotes of f(x). (Enter your answer as a comma-separated list of equations. If an ansvwer does not exist, enter DNE.) (k) State any horizontal or oblique (slant) asymptotes of f(x). (Enter your ansvwer as a comma-separated list of equations. If an answer does not exist, enter DNE.)
Use the given function and its derivatives to answer the questions. Then sketch the graph.
Fx) = + 36
x - 6)(x + 6)
F(x)
%3D
f"(x)
(a) State the domain of f(x). (Enter your answer using interval notation.)
(b) State the y-intercept of f(x). (If an answer does not exist, enter DNE.)
(c) State the open interval(s) where fx) is increasing. (Enter your answer using interval notation.)
(d) State the open interval(s) where f(x) is decreasing. (Enter your ansvwer using interval notation.)
(e) State any points where f(x) has a local maximum. (If an answer does not exist, enter DNE.)
(x, y) =
(f) State any points where fx) has a local minimum. (If an ansver does not exist, enter DNE.)
(x, y) = (
(9) State the open interval(s) where f(x) is concave up. (Enter your ansvwer using interval notation.)
Transcribed Image Text:Use the given function and its derivatives to answer the questions. Then sketch the graph. Fx) = + 36 x - 6)(x + 6) F(x) %3D f"(x) (a) State the domain of f(x). (Enter your answer using interval notation.) (b) State the y-intercept of f(x). (If an answer does not exist, enter DNE.) (c) State the open interval(s) where fx) is increasing. (Enter your answer using interval notation.) (d) State the open interval(s) where f(x) is decreasing. (Enter your ansvwer using interval notation.) (e) State any points where f(x) has a local maximum. (If an answer does not exist, enter DNE.) (x, y) = (f) State any points where fx) has a local minimum. (If an ansver does not exist, enter DNE.) (x, y) = ( (9) State the open interval(s) where f(x) is concave up. (Enter your ansvwer using interval notation.)
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