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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 11 Page 695

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

-52, -420, -3364

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)& = 8x-4 To do so, we will use a table.

n	x_n	f(x)=8x-4	x_(n+1)
0	x_0= -6	8 x_0-4=8( -6)-4	-52
1	x_1= -52	8 x_1-4=8( -52)-4	-420
2	x_2= -420	8 x_2-4=8( -420)-4	-3364
3	x_3= -3364	-	-

Therefore, the first three iterates of the functions are -52, -420 and -3364.

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