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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 37 Page 695

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

-3, -18, -963

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)& = -3x^2+9 To do so, we will use a table.

n	x_n	f(x)=-3x^2+9	x_(n+1)
0	x_0= 2	-3 x_0^2+9=-3( 2)^2+9	-3
1	x_1= -3	-3 x_1^2+9=-3( -3)^2+9	-18
2	x_2= -18	-3 x_2^2+9=-3( -18)^2+9	-963
3	x_3= -963	-	-

Therefore, the first three iterates of the function are -3, -18 and -963.

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