body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Glencoe Algebra 2, 2012

MH

McGraw Hill Glencoe Algebra 2, 2012 View details

5. Recursion and Iteration

Continue to next subchapter

Exercise 9 Page 695

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

-18, 74, -294

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

n	x_n	f(x)=-4x+2	x_(n+1)
0	x_0= 5	-4 x_0+2=-4( 5)+2	-18
1	x_1= -18	-4 x_1+2=-4( -18)+2	74
2	x_2= 74	-4 x_2+2=-4( 74)+2	-294
3	x_3= -294	-	-

Therefore, the first three iterates of the functions are -18, 74 and -294.

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