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Concept explainers
(a)
To calculate: To determine whether the function is even, odd or neither algebraically
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 83E
Function is an odd function
Explanation of Solution
Given: Function is
Formula Used:
Even Function: Function is even only when
Odd Function: Function is odd only when
Calculation:
Function is given as follows:
Let us find
Since
Thus, function is an odd function
Conclusion:
Hence, the function is an odd function
(b)
To calculate: To determine whether the function is even, odd or neither graphically
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 83E
Function is an odd function
Explanation of Solution
Given: Function is
Formula Used:
Even Function: If the graph of function has symmetry about y-axis as shown below:
Odd Function: If the graph of function has symmetry about origin as shown below:
Calculation:
Function is given as follows:
Find the value of
-1 | -0.5 | 0 | 0.5 | 1 | |
0 | -0.433 | 0 | 0.433 | 0 |
Plotting the points:
Since the graph of function is symmetrical about origin, thus the function is an odd function
Conclusion:
Hence, function is an odd function
(c)
To calculate: To determine whether the function is even, odd or neither numerically
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 83E
Function is an even function
Explanation of Solution
Given: Function is
Calculation:
Function is given as follows:
Find the value of
x | -1 | -0.5 | 0 | 0.5 | 1 |
0 | -0.433 | 0 | 0.433 | 0 | |
0 | 0.433 | 0 | -0.433 | 0 |
Since
Conclusion:
Hence, function is an odd function
Chapter 1 Solutions
Precalculus with Limits: A Graphing Approach
- Use Euler's method to numerically integrate dy dx -2x+12x² - 20x +8.5 from x=0 to x=4 with a step size of 0.5. The initial condition at x=0 is y=1. Recall that the exact solution is given by y = -0.5x+4x³- 10x² + 8.5x+1arrow_forwardFind an equation of the line tangent to the graph of f(x) = (5x-9)(x+4) at (2,6).arrow_forwardFind the point on the graph of the given function at which the slope of the tangent line is the given slope. 2 f(x)=8x²+4x-7; slope of the tangent line = -3arrow_forward
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- please dont use chat gptarrow_forwardQuestion 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_forward
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