Question

1) Name the property of real numbers illustrated by the equation. -4(x+4)=-4x-16

Answer 1

Answer:

  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.

__

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.