Mathematics, 02.02.2020 13:42 salinasroel22

The set of ordered pairs shown represents a function, f,

{(–5, 3), (4, 9), (3, –2), (0, 6)}

select three ordered pairs that could be added to the set that would allow f to remain a function.

question 10 options:

a)

(-3, -2)

b)

(4, 0)

c)

(0, -1)

d)

(1, 6)

e)

(2, 3)

f)

(-5, 9)

Answers: 3

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Answers

Answer from: noahdavis8114

B) (4, 0)

C) (0, -1)

E) (2, 3)

Step-by-step explanation:

If we see the rule of function then it says that,

a function is a special relationship where each input, x, has a single output, y.

It means that for every value of x there SHOULD be a different value of y.

(-3,-2) Rejected

because when x = 3, y = -2

(1, 6) Rejected

because when x = 0, y = 6

(-5, 9) Rejected

because when x = 4, y = 9

Answer from: AkramMasoud

The correct options are A, D and E.

Step-by-step explanation:

The given set of ordered pairs represents a function

$f=\{(-5, 3), (4, 9), (3, -2), (0, 6)\}$

We need to find THREE ordered pairs that could be added to the set that would allow f to remain a function.

A relation is a function if there exist unique value of y for each value of x.

The x values for given function are -5, 4, 3 and 0.

If we add (-3,-2) in the given set, then we unique value of y for each value of x. So, option A is correct.

If we add (4,0) in the given set, then we have y=0 and y=9 at x=4. Since the set have more than one value of y for same x-value, therefore option B is incorrect.

If we add (0,-1) in the given set, then we have y=-1 and y=6 at x=0. Since the set have more than one value of y for same x-value, therefore option C is incorrect.

If we add (1,6) in the given set, then we unique value of y for each value of x. So, option D is correct.

If we add (2,3) in the given set, then we unique value of y for each value of x. So, option E is correct.

If we add (-5,9) in the given set, then we have y=9 and y=3 at x=-5. Since the set have more than one value of y for same x-value, therefore option F is incorrect.

Therefore the correct options are A, D and E.

Answer from: Quest

can you rephrase the question ? it is unclear : -)

step-by-step explanation:

Answer from: Quest

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

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The set of ordered pairs shown represents a function, f,

{(–5, 3), (4, 9), (3, –2), (0, 6...

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