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.

which measurement are you talking about

Step-by-step explanation: