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Concept explainers
a.
The Equation for the graph obtained by shifting graph of f 3 units upward.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 7RCC
The Equation of graph is
Explanation of Solution
Given:
The graph of function f is given and to shift it by 3 units is given.
Concept Used:
The concept of graphs of functions is used.
Calculation:
The function f is given.
To shift the graph of function upward by 3 units.
So, add 3 to the function f(x).
Conclusion:
The equation of graph is
b.
The Equation for the graph obtained by shifting graph of f 3 units downward.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 7RCC
The Equation of graph is
Explanation of Solution
Given:
The graph of function f is given and to shift it by 3 units downwards is given.
Concept Used:
The concept of graphs of functions is used.
Calculation:
The function f is given.
To shift the graph of function downward by 3 units.
So, subtract 3 from the function f(x).
Conclusion:
The equation of graph is
c.
The Equation for the graph obtained by shifting graph of f 3 units to the right.
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 7RCC
The Equation of graph is
Explanation of Solution
Given:
The graph of function f is given and to shift it by 3 units to the right is given.
Concept Used:
The concept of graphs of functions is used.
Calculation:
The function f is given.
To shift the graph of function right by 3 units.
So, subtract 3 from the x in the function f(x).
Conclusion:
The equation of graph is
d.
The Equation for the graph obtained by shifting graph of f 3 units to the left.
d.
![Check Mark](/static/check-mark.png)
Answer to Problem 7RCC
The Equation of graph is
Explanation of Solution
Given:
The graph of function f is given and to shift it by 3 units to the left is given.
Concept Used:
The concept of graphs of functions is used.
Calculation:
The function f is given.
To shift the graph of function left by 3 units.
So, add 3 to the x in the function f(x).
Conclusion:
The equation of graph is
e.
The Equation for the graph obtained by reflecting the graph in the x- axis.
e.
![Check Mark](/static/check-mark.png)
Answer to Problem 7RCC
The Equation of graph is
Explanation of Solution
Given:
The graph of function f is given and to reflect it on the x axis is given.
Concept Used:
The concept of graphs of functions is used.
Calculation:
The function f is given.
To reflect the graph on the x axis.
So, take the negative of the graph of f(x).
Conclusion:
The equation of graph is
f.
The Equation for the graph obtained by reflecting the graph in the y- axis.
f.
![Check Mark](/static/check-mark.png)
Answer to Problem 7RCC
The Equation of graph is
Explanation of Solution
Given:
The graph of function f is given and to reflect it on the y axis is given.
Concept Used:
The concept of graphs of functions is used.
Calculation:
The function f is given.
To reflect the graph on the y axis.
So, take the negative of the x of graph of f(x).
Conclusion:
The equation of graph is
g.
The Equation for the graph obtained by stretching it vertically by a factor of 3.
g.
![Check Mark](/static/check-mark.png)
Answer to Problem 7RCC
The Equation of graph is
Explanation of Solution
Given:
The graph of function f is given and to stretch it vertically by 3 is given.
Concept Used:
The concept of graphs of functions is used.
Calculation:
The function f is given.
To stretch the graph vertically by factor of 3.
So, multiply the graph of f(x) by 3.
Conclusion:
The equation of graph is
h.
The Equation for the graph obtained by shrinkingit vertically by a factor of
h.
![Check Mark](/static/check-mark.png)
Answer to Problem 7RCC
The Equation of graph is
Explanation of Solution
Given:
The graph of function f is given and to shrink it vertically by
Concept Used:
The concept of graphs of functions is used.
Calculation:
The function f is given.
To shrink the graph vertically by factor of
So, divide the graph of f(x) by 3.
Conclusion:
The equation of graph is
i.
The Equation for the graph obtained by stretching it horizontally by a factor of 2.
i.
![Check Mark](/static/check-mark.png)
Answer to Problem 7RCC
The Equation of graph is
Explanation of Solution
Given:
The graph of function f is given and to stretch it horizontally by 2 is given.
Concept Used:
The concept of graphs of functions is used.
Calculation:
The function f is given.
To stretch the graph horizontally by a factor of 2.
So, divide x of the graph of f(x) by 2.
Conclusion:
The equation of graph is
j.
The Equation for the graph obtained by shrinking it horizontally by a factor of
j.
![Check Mark](/static/check-mark.png)
Answer to Problem 7RCC
The Equation of graph is
Explanation of Solution
Given:
The graph of function f is given and to shrink it horizontally by
Concept Used:
The concept of graphs of functions is used.
Calculation:
The function f is given.
To shrink the graph horizontally by a factor of
So, multiply x of the graph of f(x) by 2.
Conclusion:
The equation of graph is
Chapter 2 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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- Question Given the graph of f(z) below, find the graph of the derivative of f(z). Select the correct answer below: ° 7-6-5-4-3 123 ° ° 2 -7-6-5-4-3- 123 -° 2-4 -°- °- -7-6-5-4-3-2-1 1 5 +arrow_forwardWhich of the functions shown below is differentiable at = 0? Select the correct answer below: -7-6-5-4- -6-5-4-3-21, -7-6-5-4-3-2 -7-6-5-4-3-2-1 2 4 5 6 -1arrow_forwardcorrect answer is Acould you please show me how to compute using the residue theoremarrow_forward
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