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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 38 Page 695

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

21, 1769, 12 517 449

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&=-2 f(x)& = 4x^2+5 To do so, we will use a table.

n	x_n	f(x)=4x^2+5	x_(n+1)
0	x_0= -2	4 x_0^2+5=4( -2)^2+5	21
1	x_1= 21	4 x_1^2+5=4( 21)^2+5	1769
2	x_2= 1769	4 x_2^2+5=4( 1769)^2+5	12 517 449
3	x_3= 12 517 449	-	-

Therefore, the first three iterates of the function are 21, 1769 and 12 517 449.

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