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1. Define the function f(x, y) on the non-negative integers recursively by (2f(5,y) y + f(x – 1, y) if x is odd and r > 0 if x is even and x > 0 f (x, y) = if x = 0. (a) Compute f(1, 1), ƒ(3,7), and f(6,4). Show your calculations. (b) What function does f(x, y) compute? Briefly justify your answer.

1. Define the function f(x, y) on the non-negative integers recursively by (2f(5,y) y + f(x – 1, y) if x is odd and r > 0 if x is even and x > 0 f (x, y) = if x = 0. (a) Compute f(1, 1), ƒ(3,7), and f(6,4). Show your calculations. (b) What function does f(x, y) compute? Briefly justify your answer.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 41E
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Recursion 1. Define the function f(x, y) on the non-negative integers recursively by (2f(,y) y + f(x – 1, y) if x is odd and r > 0 if x is even and x > 0 f (xr, y) = if x = 0. (a) Compute f (1, 1), ƒ(3, 7), and f(6, 4). Show your calculations. (b) What function does f(x, y) compute? Briefly justify your answer.
Transcribed Image Text:Recursion 1. Define the function f(x, y) on the non-negative integers recursively by (2f(,y) y + f(x – 1, y) if x is odd and r > 0 if x is even and x > 0 f (xr, y) = if x = 0. (a) Compute f (1, 1), ƒ(3, 7), and f(6, 4). Show your calculations. (b) What function does f(x, y) compute? Briefly justify your answer.
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