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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 10 Page 695

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

-21, -123, -735

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)& = 6x+3 To do so, we will use a table.

n	x_n	f(x)=6x+3	x_(n+1)
0	x_0= -4	6 x_0+3=6( -4)+3	-21
1	x_1= -21	6 x_1+3=6( -21)+3	-123
2	x_2= -123	6 x_2+3=6( -123)+3	-735
3	x_3= -735	-	-

Therefore, the first three iterates of the functions are -21, -123 and -735.

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