1) name the property of real numbers illustrated by the equation. -4(x+4)=-4x-16
a. associative property of addition
b. commutative property of addition
c. associative property of multiplication
d. distributive property
2) given no other restrictions what are the domain and range of the following function?
f(x)=x^2-2x+1
a. d=all real numbers
r=all real numbers
b. d=all real numbers
r={yi> _ -1
c. d=all real numbers
r={yiy> _0}
d. d{xix> _0}
r={yiy< _1}

  1)  D. distributive property

  2)  C. D=all real numbers; R = {y | y ≥ 0}

Step-by-step explanation:

1) We observe that the factor of -4 has been multiplied by each of the terms of the binomial in parentheses. This is an application of the distributive property.

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2) Any polynomial has a domain of all real numbers. The range of an even-degree polynomial will be limited by its extreme value. Here, the vertex of this quadratic function is (1, 0), so the range is all non-negative real numbers.

  F(x) = x^2 -2x +1 = (x -1)^2

Any square will have a minimum value of 0. For this function, that occurs at ...

  (x, y) = (1, 0)

The range will be values of y equal to or greater than zero.

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.