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McGraw Hill Glencoe Algebra 2, 2012
MH
McGraw Hill Glencoe Algebra 2, 2012 View details
Study Guide and Review
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Exercise 54 Page 713

The given rule means that, each iterate of the function is found by multiplying previous value by 3 and then add 1.

13, 40, 121

Practice makes perfect

We are asked to find the first three iterates of a function, given an initial value. x_0&=4 f(x)&=3x+1 To do so, we will use a table.

n x_n f(x)=3x+1 x_(n+1)
0 x_0= 4 3 x_0+1=3( 4)+1 13
1 x_1= 13 3 x_1+1=3( 13)+1 40
2 x_2= 40 3 x_2+1=3( 40)+1 121
3 x_3=121 - -

Therefore, the first three iterates of the function are 13, 40, and 121.

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Exercises 12 (Page 711)
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