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kramer
3 years ago
7

Which set of ordered pairs represents a function?

Mathematics
2 answers:
mel-nik [20]3 years ago
6 0
The one that doesn't have an "x" repeated, that is an X-REPEAT
notice, the pair is just an x,y  pair.. .so if the "x" is repeated, is NOT a function

let's see

\bf \{(2, -2), (\boxed{1}, 5), (-2, 2), (\boxed{1}, -3), (8, -1)\}\impliedby \textit{has an "x" rep}eated\\\\
\{(3, -1), (7, 1), (-6, -1), (9, 1), (2, -1)\}\\\\
\{(6, 8), (5, 2), (\boxed{-2}, -5), (1, -3), (\boxed{-2}, 9)\}\impliedby \textit{has an "x" rep}eated\\\\
\{(\boxed{-3}, 1), (6, 3), (\boxed{-3}, 2), (\boxed{-3}, -3), (1, -1)\}\impliedby \textit{an "x" rep}eated
Agata [3.3K]3 years ago
5 0

Answer:

The second set of ordered pairs :

{(3,-1),(7,1),(-6,-1),(9,1),(2,-1)}

Step-by-step explanation:

A function in IR2 (coordinate plane) assigns to a value of ''x'' an unique value of ''y''.

For example, the function f(x)=x+3.

When x=2 ⇒ f(2)=2+3=5

Therefore, the ordered pair (2,5) belongs to the function.

For each value of ''x'' we will have an unique value of ''y''.

For example, the ordered pairs (4,5) and (4,8) don't belong to any function because the value ''4'' can't be assign to ''5'' and ''8'' at the same time.

On the other hand, we can have the same value of ''y'' assigns to different values of ''x''. For example , (3,0) and (7,0) are correct ordered pairs for the function y=0.

In order to answer the question, we will discard the sets in which two or more ordered pairs have the same value of ''x'' assign to a different value of ''y''.

Examining the sets we find that the first set has the ordered pairs (1,5) and (1,-3) so it is not a valid set of ordered pairs which represents a function.

The second set is correct.

The third set has (-2,-5) and (-2,9) so it doesn't represent a function.

We will have the same problem in the fourth set with the ordered pairs (-3,1) , (-3,2) and (-3,-3).

The only correct set is the second one.

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Step-by-step explanation:

2x-5\le \:-x+12

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2x+x\le \:-x+17+x

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\frac{3x}{3}\le \frac{17}{3}

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6 0
3 years ago
If f(x) = 2x - 1 and g(x) = x^2 - 2, find [g · f](x)<br><br> please show me how to do this
larisa [96]

Answer:

(x² -7)/(2x + 1)

Step-by-step explanation:

f(x) = 2x+1 and g(x) = x² -7

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3 years ago
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What is the domain of f(x) = log2(x 3) 2?.
kobusy [5.1K]

The domain of f(x) is  x > -3.

Given that

Function; \rm f(x) = log2(x + 3) + 2

We have to determine

The domain of f(x).

According to the question

To determine the domain of the function following all the steps given below.

The domain is defined as the set, which is to be input in a function. Or, we can say input values that satisfy a function.

Function; \rm f(x) = log2(x + 3) + 2

Then,

The domain of the function,

\rm x+3 > 0\\\\x > -3

The domain is x > -3,

Hence, the domain of f(x) is  x > -3.

To know more about the Domain click the link given below.

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2 years ago
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6 0
2 years ago
Given -3x + 2y = 1 and x = 5, solve for y.<br><br> a.-7<br><br> b.7<br><br> c.-8<br><br> d.8
eduard

Answer:

d. 8

Step-by-step explanation:

Given: -3x + 2y = 1 and x = 5

Now plug x =5 in the given equation and find the value of y.

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Dividing both sides by 2, we get

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Thank you.


7 0
3 years ago
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