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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 35 Page 695

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

-45, 273, -1635

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

n	x_n	f(x)=-6x+3	x_(n+1)
0	x_0= 8	-6 x_0+3=-6( 8)+3	-45
1	x_1= -45	-6 x_1+3=-6( -45)+3	273
2	x_2= 273	-6 x_2+3=-6( 273)+3	-1635
3	x_3= -1635	-	-

Therefore, the first three iterates of the function are -45, 273 and -1635.

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