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4. Fill in the blanks in the following table to summarize what you have discovered about the end behavior of odd- and even-degree functions. Positive leading coefficient Negative leading coefficient Odd-degree function as x→ ∞, y →→ as x→∞o, y → as x→∞, y →→ as x→∞, y → as x→∞o, y→ Even-degree function as x→∞, y → as x→∞o, y → as x→∞, y → as x→∞o, y → 5. Describe the end behavior of each of the following polynomial functions. A. y=x¹0 +5x²-3 B. y=-2x³5 - 4x + x as x→∞, y →. as x-00, y → as x→∞0, y →

4. Fill in the blanks in the following table to summarize what you have discovered about the end behavior of odd- and even-degree functions. Positive leading coefficient Negative leading coefficient Odd-degree function as x→ ∞, y →→ as x→∞o, y → as x→∞, y →→ as x→∞, y → as x→∞o, y→ Even-degree function as x→∞, y → as x→∞o, y → as x→∞, y → as x→∞o, y → 5. Describe the end behavior of each of the following polynomial functions. A. y=x¹0 +5x²-3 B. y=-2x³5 - 4x + x as x→∞, y →. as x-00, y → as x→∞0, y →

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. Fill in the blanks in the following table to summarize what you have discovered about the end behavior of odd- and even-degree functions. Odd-degree function Positive leading coefficient Negative leading coefficient as x→∞, y →→ as x→∞, y → as x→∞, y →→ as x→∞o, y → as x→ ∞, y →→ Even-degree function as x→∞, y → as x→∞, y →→ as x→→∞, y → as x→∞, y → 5. Describe the end behavior of each of the following polynomial functions. A. y=x¹0 +5x²-3 |10 B. y=-2x5-4x² + x as x→∞, y → as x→∞, y. as x→→∞, y →
Transcribed Image Text:4. Fill in the blanks in the following table to summarize what you have discovered about the end behavior of odd- and even-degree functions. Odd-degree function Positive leading coefficient Negative leading coefficient as x→∞, y →→ as x→∞, y → as x→∞, y →→ as x→∞o, y → as x→ ∞, y →→ Even-degree function as x→∞, y → as x→∞, y →→ as x→→∞, y → as x→∞, y → 5. Describe the end behavior of each of the following polynomial functions. A. y=x¹0 +5x²-3 |10 B. y=-2x5-4x² + x as x→∞, y → as x→∞, y. as x→→∞, y →
2. The greatest exponent of an odd-degree function is odd. Examples of odd-degree functions are y=x+ 6, y = 2x³, and y = x². In the Gizmo, experiment with functions of degree 1 and 3. A. Fill in the blanks to show what happens to y as x approaches infinity or negative infinity when the leading coefficient of an odd-degree function is positive. as x→∞, y → B. Fill in the blanks to show what happens to y as x approaches infinity or negative infinity when the leading coefficient of an odd-degree function is negative. as x→∞, y →→ as x→∞o, y →→ as x→∞, y → 3. The greatest exponent of an even-degree function is even. Examples of even-degree functions include y = 3x², y = x^² - 5x³ +8, and y = 2x³ + x5-x. In the Gizmo, experiment with functions of degree 2 and 4. A. Fill in the blanks to show what happens to y as x approaches infinity or negative infinity when the leading coefficient of an even-degree function is positive. as x→∞, y → as x→∞, y → B. Fill in the blanks to show what happens to y as x approaches infinity or negative infinity when the leading coefficient of an even-degree function is negative. as x→∞, y →→ as x→→∞, y →→
Transcribed Image Text:2. The greatest exponent of an odd-degree function is odd. Examples of odd-degree functions are y=x+ 6, y = 2x³, and y = x². In the Gizmo, experiment with functions of degree 1 and 3. A. Fill in the blanks to show what happens to y as x approaches infinity or negative infinity when the leading coefficient of an odd-degree function is positive. as x→∞, y → B. Fill in the blanks to show what happens to y as x approaches infinity or negative infinity when the leading coefficient of an odd-degree function is negative. as x→∞, y →→ as x→∞o, y →→ as x→∞, y → 3. The greatest exponent of an even-degree function is even. Examples of even-degree functions include y = 3x², y = x^² - 5x³ +8, and y = 2x³ + x5-x. In the Gizmo, experiment with functions of degree 2 and 4. A. Fill in the blanks to show what happens to y as x approaches infinity or negative infinity when the leading coefficient of an even-degree function is positive. as x→∞, y → as x→∞, y → B. Fill in the blanks to show what happens to y as x approaches infinity or negative infinity when the leading coefficient of an even-degree function is negative. as x→∞, y →→ as x→→∞, y →→
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