A function f defined on –4
Chapter3: Functions
Section3.2: Domain And Range
Problem 59SE: Create a function in which the domain is x2 .
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Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
![A function f defined on -4<x<4 is given by the
graph to the left. Use the graph to answer each of the
following questions.
f
3+
Note: to the right of x = 2, the graph of f is exhibiting
infinite oscillatory behavior similar to the function
2+
sin는)
For each of the values in the table, determine whether
or not f'(a) exists. In particular, based on the given
graph, ask yourself if it is reasonable to say that f has
a tangent line at (a, f(a))for each of the given a
values. If so, visually estimate the slope of the tangent
line to find the value of f'(a). If not, then put DNE in
1+
-3
-2
-1
-1
the table.
-2+
a
f'(a)
-3
-2
-1
1
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5bd68cc-8a75-4f5a-9417-747b2e737c78%2F8e77efca-5ccd-4307-926a-83c1806ed220%2Fam0lgln_processed.png&w=3840&q=75)
Transcribed Image Text:A function f defined on -4<x<4 is given by the
graph to the left. Use the graph to answer each of the
following questions.
f
3+
Note: to the right of x = 2, the graph of f is exhibiting
infinite oscillatory behavior similar to the function
2+
sin는)
For each of the values in the table, determine whether
or not f'(a) exists. In particular, based on the given
graph, ask yourself if it is reasonable to say that f has
a tangent line at (a, f(a))for each of the given a
values. If so, visually estimate the slope of the tangent
line to find the value of f'(a). If not, then put DNE in
1+
-3
-2
-1
-1
the table.
-2+
a
f'(a)
-3
-2
-1
1
2
Expert Solution
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Step 1
Given that the graph.
A function is defined on -4<x<4.
To determine whether f'(a) exist or not:
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