Answer:
35, 13, 1, -1, 7
Explanation:
Repeated evaluation of the same function is accomplished easily by a calculator or spreadsheet. It is a good idea to become familiar with this technology.
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If you're doing this by hand, writing the equation in Horner form can make it easier to evaluate.
f(x) = (5x -7)x +1
Then ...
f(-2) = (5(-2) -7)(-2) +1 = (-17)(-2) +1 = 34 +1 = 35
f(-1) = (5(-1) -7)(-1) +1 = (-12)(-1) +1 = 12 +1 = 13
f(0) = 1 . . . . the constant term
f(1) = (5(1) -7)(1) +1 = (-2)(1) +1 = -2 +1 = -1
f(2) = (5(2) -7)(2) +1 = (3)(2) +1 = 6 +1 = 7
In order, the f(x) values are 35, 13, 1, -1, 7.