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exis [7]
2 years ago
8

Identify the relation that is also a function. A. {(-1, 1) (0, 0) (1, 1) (2, 4)} B. {(3, 4) (2, 3) (3, 6) (2, 0)} C. {(1, 0) (2,

3) (3, -2) (1, 6)} D. {(3, 2) (3, -2) (3, 6) (3, 8)}
Mathematics
1 answer:
madreJ [45]2 years ago
3 0

Answer:

Step-by-step explanation:

We are given four sets of relations as

A. {(-1, 1) (0, 0) (1, 1) (2, 4)} \\B. {(3, 4) (2, 3) (3, 6) (2, 0)} \\C. {(1, 0) (2, 3) (3, -2) (1, 6)} \\D. {(3, 2) (3, -2) (3, 6) (3, 8)}

A function is a relation in which every element in the first set has a unique image in the second set.

Let us check this aspect to A.  

This is a function

Now come to B.  3 has two images 4 and 6.  so not a function

Next is C.  in C 1 has two images 0 and 6.  So not a function

For D, 3 has 4 images so not a function.

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Answer:

Slope is Zero 0

Step-by-step explanation:

this is because the line is horizontal and therefore has no slope

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The area of a square is given by and the perimeter is given by , where s is the side length of the square. If the side length of
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3 years ago
A curve passes through the point ( 0 , 7 ) (0,7) and has the property that the slope of the curve at every point P P is twice th
STatiana [176]

Answer:

The equation for the curve is:

f(x) = 7*e^{2*x}

Step-by-step explanation:

We know that for a curve defined as:

y = f(x)

The slope of the curve at the point x is:

y = f'(x)

where f'(x) = df(x)/dx

Here we know that we have a function that passes through the point (0, 7)

We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))

Then we have two equations:

f(0) = 7

f'(x) = 2*f(x)

From the shape of the equation, we can assume than this is an exponential equation like:

f(x) = A*e^{k*x}

Replacing that in the second equation, we get:

k*A*e^{k*x} = 2*A*e^{k*x}

From that equation, we can conclude that k = 2

Then:

f(x) = A*e^{2*x}

Now we can use the first equation:

f(0) = 7

With this, we can find the value of A.

f(0) = 7 =  A*e^{2*0}\\7 = A*e^0 = A*1\\7 = A

Then we can conclude that the equation for the curve is:

f(x) = 7*e^{2*x}

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2 years ago
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Answer:

4

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The mean is defined as adding all the numbers up and dividing by how many numbers there are, so:

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