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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 8 Page 695

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

42, 212, 1062

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&=8 f(x)& = 5x+2 To do so, we will use a table.

n	x_n	f(x) = 5x+2	x_(n+1)
0	x_0= 8	5 x_0+2=5( 8)+2	42
1	x_1= 42	5 x_1+2=5( 42)+2	212
2	x_2= 212	5 x_2+2=5( 212)+2	1062
3	x_3= 1062	-	-

Therefore, the first three iterates of the functions are 42, 212 and 1062.

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