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McGraw Hill Glencoe Algebra 2, 2012

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McGraw Hill Glencoe Algebra 2, 2012 View details

5. Recursion and Iteration

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Exercise 34 Page 695

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

55, -494, 4447

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)& = -9x+1 To do so, we will use a table.

n	x_n	f(x)=-9x+1	x_(n+1)
0	x_0= -6	-9 x_0+1=-9( -6)+1	55
1	x_1= 55	-9 x_1+1=-9( 55)+1	-494
2	x_2= -494	-9 x_2+1=-9( -494)+1	4447
3	x_3= 4447	-	-

Therefore, the first three iterates of the function are 55, -494 and 4447.

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