a) Create a generic function (a function without an ‘a’ value) that satisfies the following conditions. Be sure to explain how you satisfied each condition. • Has three zeroes • One zero is a fraction • Has a larger degree than 3 • Has end behaviours in the opposite directions b) Determine the equation of the function if it passes through (2,5). c) Graph your function, explaining how you came up with each part that you graphed.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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a) Create a generic function (a function without an ‘a’ value) that satisfies the following conditions. Be sure to explain how you satisfied each condition.
• Has three zeroes
• One zero is a fraction
• Has a larger degree than 3
• Has end behaviours in the opposite directions
b) Determine the equation of the function if it passes through (2,5).
c) Graph your function, explaining how you came up with each part that you graphed.

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