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fiasKO [112]
3 years ago
10

Which of the following represents a function?

Mathematics
2 answers:
steposvetlana [31]3 years ago
7 0

Answer:

a

Step-by-step explanation:

bc its the only one that makes sence to me heheh

olchik [2.2K]3 years ago
4 0

Answer: Option D

Step-by-step explanation:

A relationship is a function if and only if for each input value x (domain) only one output value y is assigned (Range)

Option A.

Note that x represents the input values and y represents the output values.

When x = 3 then y = 14 and y = 19.

The input value x = 3 has two output values  y assigned.

<u>So the relationship is not a function</u>

<u />

Option B.

Note that x represents the input values and y represents the output values.

When x = 3 then y = 0 and y = -5.

The input value x = 3 has two output values y assigned.

<u>So the relationship is not a function</u>

<u />

Option C

Note that x represents the input values and y represents the output values.

When x = -1 then y = -11 and y = 5.

(-1,-11) , (-1, 5)

The input value x = -1 has two output values y assigned.

<u>So the relationship is not a function</u>

<u />

Option D

Note that x represents the input values and y represents the output values  and for each input value x (domain) only one output value y is assigned (Range)

\{(-5, 3), (-3, 1), (-1, -1), (1, -1), (3, 1), (5, 3)\}

<u>So the relationship is a function</u>

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Function 1: y = 4x + 5
rosijanka [135]

Answer:

Option B is correct

Function 1, because the slope is 4 and the slope of function 2 is 2.

Step-by-step explanation:

Slope-intercept form:

The equation of line is given by:

y=mx+b

where, m is the slope and b is the y-intercept

As per the statement:

Function 1: y = 4x + 5

On comparing with [1] we have;

Slope of function 1  = 4

Function 2: The line passing through the points (1, 6) and (3, 10).

Using slope formula:

\text{Slope}= \frac{y_2-y_1}{x_2-x_1}

Substitute the given points we have;

\text{Slope}= \frac{10-6}{3-1}

⇒\text{Slope}= \frac{4}{2}

Simplify:

⇒\text{Slope}=2

⇒\text{Slope}= \frac{4}{2}

⇒ Slope of the function 2 is, 2

Since, function 1 is greater rate of change.( i.e 4 > 2)

Therefore,

Function 1  has the greater rate of change,  because the slope is 4 and the slope of function 2 is 2.

3 0
3 years ago
Read 2 more answers
Which are removable discontinuities?
Afina-wow [57]

Answer:

C

Step-by-step explanation:

Got it right on eng

4 0
3 years ago
What is a domain and range?
natulia [17]

The domain-  Is the function provides an "output" or value for each member of the domain

Range-  The difference between the lowest and highest values.

6 0
3 years ago
I'll give brainiest to the first correct answer
Elanso [62]

Answer: the first one is the answer I think

Step-by-step explanation:

6 0
3 years ago
What is the domain of f?
lana [24]

Answer: C) All real values of x such that x \le 0

In other words, x must be 0 or smaller.

===================================================

Explanation:

The reason why is because we must make the stuff under the square root to never be negative. We must make -2x be 0 or larger.

So,

-2x \ge 0 \\\\-2x+2x \ge 0+2x \ \text{ ... add 2x to both sides}\\\\0 \ge 2x\\\\2x \le 0  \ \text{ ... flip both sides, and the inequality sign}\\\\x \le 0/2  \ \text{ ... divide both sides by 2}\\\\x \le 0

As an example, if x = -2, then -2x = -2(-2) = 4 is positive. Applying the square root to a positive number is valid.

But if x = 5, then -2x = -2*5 = -10 is under the square root, which is not allowed.

3 0
3 years ago
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