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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 33 Page 695

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

56, 680, 8168

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&=4 f(x)& = 12x+8 To do so, we will use a table.

n	x_n	f(x)=12x+8	x_(n+1)
0	x_0= 4	12 x_0+8=12( 4)+8	56
1	x_1= 56	12 x_1+8=12( 56)+8	680
2	x_2= 680	12 x_2+8=12( 680)+8	8168
3	x_3= 8168	-	-

Therefore, the first three iterates of the function are 56, 680 and 8168.

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