Sketch the following function using DESMOS: f(x) = x² + x² + 2x Analyze the graph by answering the following questions. Correct notation is expected. For infinity, show +inf or -inf, as appropriate. There should be no spaces in your answers. The number format is specified in each question below. a) State the integer coordinates of the y-intercept: A/ b) State the integer coordinates of the x-intercepts, from smallest to largest: A/ A/ c) State the coordinates of the local maxima as decimals to the nearest tenth: d) State the coordinates of the local minima as decimals to the nearest tenth: A/ A/ e) State the interval representing the domain, XE A f) State the interval representing the range, VE A/ A/ g) State the interval of increase, as decimals to the nearest tenth: XE

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.7: Combining Functions
Problem 4E: We can express the function in Exercise 3 algebraically as f(x)=g(x)= (fg)(x)=(gf)(x)=
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Question
h) State the intervals of decrease, as decimals to the nearest tenth, from the left side
to the right:
A
A
i) Fill in the end-behaviour: as x→ +∞, y →
U
A/
j) Fill in the end-behaviour: as x→ -∞, y →
A/
Transcribed Image Text:h) State the intervals of decrease, as decimals to the nearest tenth, from the left side to the right: A A i) Fill in the end-behaviour: as x→ +∞, y → U A/ j) Fill in the end-behaviour: as x→ -∞, y → A/
Sketch the following function using DESMOS: f(x)= -x³ + x² + 2x
Analyze the graph by answering the following questions. Correct notation is
expected. For infinity, show +inf or -inf, as appropriate. There should be no spaces in
your answers. The number format is specified in each question below.
a) State the integer coordinates of the y-intercept:
A
b) State the integer coordinates of the x-intercepts, from smallest to largest:
A/
c) State the coordinates of the local maxima as decimals to the nearest tenth:
A/
d) State the coordinates of the local minima as decimals to the nearest tenth:
A
e) State the interval representing the domain, XE
A
A/
f) State the interval representing the range, y
A
g) State the interval of increase, as decimals to the nearest tenth: XE
A
A/
Transcribed Image Text:Sketch the following function using DESMOS: f(x)= -x³ + x² + 2x Analyze the graph by answering the following questions. Correct notation is expected. For infinity, show +inf or -inf, as appropriate. There should be no spaces in your answers. The number format is specified in each question below. a) State the integer coordinates of the y-intercept: A b) State the integer coordinates of the x-intercepts, from smallest to largest: A/ c) State the coordinates of the local maxima as decimals to the nearest tenth: A/ d) State the coordinates of the local minima as decimals to the nearest tenth: A e) State the interval representing the domain, XE A A/ f) State the interval representing the range, y A g) State the interval of increase, as decimals to the nearest tenth: XE A A/
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Follow-up Question
h) State the intervals of decrease, as decimals to the nearest tenth, from the left side
to the right:
A
A
i) Fill in the end-behaviour: as x→ +∞, y →
U
A/
j) Fill in the end-behaviour: as x→ -∞, y →
A/
Transcribed Image Text:h) State the intervals of decrease, as decimals to the nearest tenth, from the left side to the right: A A i) Fill in the end-behaviour: as x→ +∞, y → U A/ j) Fill in the end-behaviour: as x→ -∞, y → A/
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