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McGraw Hill Glencoe Algebra 2, 2012
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McGraw Hill Glencoe Algebra 2, 2012 View details
Study Guide and Review
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Exercise 51 Page 713

The given rule means that, each iterate of the function is found by multiplying previous value by 2 and then add 1.

7, 15, 31

Practice makes perfect
We are asked to find the first three iterates of a function, given an initial value.

x_0&=3 f(x)&=2x+1 To do so, we will use a table.

n x_n f(x)=2x+1 x_(n+1)
0 x_0= 3 2 x_0+1=2( 3)+1 7
1 x_1= 7 2 x_1+1=2( 7)+1 15
2 x_2= 15 2 x_2+1=2( 15)+1 31
3 x_3=31 - -

Therefore, the first three iterates of the function are 7, 15, and 31.

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arrow_right Exercises p.710-714
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Exercises 12 (Page 711)
Exercises 13 (Page 711)
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Exercises 15 (Page 711)
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Exercises 31 (Page 712)
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Exercises 46 (Page 713)
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Exercises 51 (Page 713)
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Exercises 60 (Page 714)
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