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McGraw Hill Glencoe Algebra 2, 2012

MH

McGraw Hill Glencoe Algebra 2, 2012 View details

5. Recursion and Iteration

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Exercise 39 Page 695

Use the initial value as the input of a function rule. This will give us the first output value.

43, 3484, 24 259 093

Practice makes perfect

We are asked to write the first three iterates of a function, given a function rule and an initial value.

x_0&=6 f(x)& = 2x^2-5x+1 To do so, we will use a table.

n	x_n	f(x)=2x^2-5x+1	x_(n+1)
0	x_0= 6	2 x_0^2-5 x_0+1=2( 6)^2-5( 6)+1	43
1	x_1= 43	2 x_1^2-5 x_1+1=2( 43)^2-5( 43)+1	3484
2	x_2= 3484	2 x_2^2-5 x_2+1=2( 3484)^2-5( 3484)+1	24 259 093
3	x_3= 24 259 093	-	-

Therefore, the first three iterates of the function are 43, 3484 and 24 259 093.

Subchapter links

Check Your Understanding p.695

Practice and Problem Solving p.695-696

H.O.T. Problems p.696

Standardized Test Practice p.697

Spiral Review p.697

Skills Review p.697