Help asap 1) To which set of numbers does the number belong? Choose all the sets to which it belongs. -5.2

a)Natural

b)Whole

C)integer

d)rational

e)irrational

f)real

2)To which set of numbers does the number belong? Choose all the sets to which it belongs. -4

a)Natural

b)Whole

C)integer

d)rational

e)irrational

f)real

3) To which set of numbers does the number belong? Choose all the sets to which it belongs. -4.3212

a)Natural

b)Whole

C)integer

d)rational

e)irrational

f)real

4) To which set of numbers does the number belong? Choose all the sets to which it belongs. square root of 4

a)Natural

b)Whole

C)integer

d)rational

e)irrational

f)real

5) To which set of numbers does the number belong? Choose all the sets to which it belongs. square root of 7

a)Natural

b)Whole

C)integer

d)rational

e)irational

f)real

(1) d, f     (2) c, d, f     (3) e, f      (4) a, b, c, d, f     (5) e, f

Step-by-step explanation:

a) Natural Numbers:            1, 2, 3, ...

b) Whole Numbers:          0, 1, 2, 3, ...     (add zero to the Natural numbers)

c) Integers:   ..., -3, -2, -1, 0, 1, 2, 3, ...   (add negatives to the Whole numbers)

d) Rationals: Add terminating and repeating decimals to Integers.

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e) Irrationals: Non-repeating decimals that are non-terminating.  This is its own category so cannot be a Rational number or above.

f) Real Numbers: ALL of the above (a - e) are Real numbers.

1) -5.2  has a terminating decimal so it is a RATIONAL number.

2) -4  is below zero so is an INTEGER which means it is also a RATIONAL #

3) -4.3212... is a non-terminating decimal so it is an IRRATIONAL number

4) = 2 is a NATURAL number which means it is also a WHOLE number, INTEGER, and RATIONAL number.

5)  is a non-terminating decimal so it is an IRRATIONAL number

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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