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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 52 Page 713

The given rule means that, each iterate of the function is found by multiplying previous value by 5 and then subtract 4.

1, 1, 1

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

x_0&=1 f(x)&=5x-4 To do so, we will use a table.

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

Therefore, the first three iterates of the function are 1, 1, and 1.

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Exercises 12 (Page 711)
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