3. A step function assumes a constant value between consecutive integers n and n + 1. Make a plot of the step function f (x) whose value is n² when n ≤ x < n + 1. Use the domain 0 < x < 20.
3. A step function assumes a constant value between consecutive integers n and n + 1. Make a plot of the step function f (x) whose value is n² when n ≤ x < n + 1. Use the domain 0 < x < 20.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
Related questions
Question
A step function assumes a constant value between consecutive integers n and n 1. Make a plot of
the step function f +x/ whose value is n2 when n x n 1. Use the domain 0 x 20.
![4G1 12:40
Vo) 4G
LTE 86%
null.pdf
3.7 Plotting Implicitly Defined Functions
97
1 x21
Plot|{ - v {x, -3, 3}, ExclusionsStyle → Dashed]
In[8]:=
1.0
0.5
Out[8)=
-1
-0.5
Exercises 3.6
1. Show the second condition in the last example above could just as well be True.
2. Make a plot of the piecewise function below, and comment on its shape.
x< 0
Osx<1
2
f(x) = { -x² + 3 x –
1sx< 2
(3 – x)?
2sx < 3
3sx
3. A step function assumes a constant value between consecutive integers n and n+ 1. Make a plot of
the step function f (x) whose value is n? when n sx < n+ 1. Use the domain 0 s x < 20.
3.7 Plotting Implicitly Defined Functions
An implicitly defined function is given as an equation relating two variables, such as x2 + y² = 1 (which
describes a circle of radius one). Here the y variable is not given explicitly as a function of the x
variable, but rather the x and y terms are wrapped up in an equation; hence the term "implicitly"
defined function. In order to plot an implicitly defined function, use the ContourPlot command.
Use the implicit equation for the first argument (with a double equal sign == either typed from the
keyboard or inserted via the BasicMathlnput palette), and include two iterators: one for x, a second
for y.
98
Functions and Their Graphs
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Transcribed Image Text:4G1 12:40
Vo) 4G
LTE 86%
null.pdf
3.7 Plotting Implicitly Defined Functions
97
1 x21
Plot|{ - v {x, -3, 3}, ExclusionsStyle → Dashed]
In[8]:=
1.0
0.5
Out[8)=
-1
-0.5
Exercises 3.6
1. Show the second condition in the last example above could just as well be True.
2. Make a plot of the piecewise function below, and comment on its shape.
x< 0
Osx<1
2
f(x) = { -x² + 3 x –
1sx< 2
(3 – x)?
2sx < 3
3sx
3. A step function assumes a constant value between consecutive integers n and n+ 1. Make a plot of
the step function f (x) whose value is n? when n sx < n+ 1. Use the domain 0 s x < 20.
3.7 Plotting Implicitly Defined Functions
An implicitly defined function is given as an equation relating two variables, such as x2 + y² = 1 (which
describes a circle of radius one). Here the y variable is not given explicitly as a function of the x
variable, but rather the x and y terms are wrapped up in an equation; hence the term "implicitly"
defined function. In order to plot an implicitly defined function, use the ContourPlot command.
Use the implicit equation for the first argument (with a double equal sign == either typed from the
keyboard or inserted via the BasicMathlnput palette), and include two iterators: one for x, a second
for y.
98
Functions and Their Graphs
...
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