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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 36 Page 695

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

-29, -229, -1829

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)& = 8x+3 To do so, we will use a table.

n	x_n	f(x)=8x+3	x_(n+1)
0	x_0= -4	8 x_0+3=8( -4)+3	-29
1	x_1= -29	8 x_1+3=8( -29)+3	-229
2	x_2= -229	8 x_2+3=8( -229)+3	-1829
3	x_3= -1829	-	-

Therefore, the first three iterates of the function are -29, -229 and -1829.

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