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Snezhnost [94]
3 years ago
5

The domain of a function is?

Mathematics
2 answers:
Grace [21]3 years ago
7 0
The correct answer is B) The set of all first elements of the function. Let's say you had these three points on a graph of a function: (0.9), (2.6), (4,7). The domain of these three points would be (0,2,4). The domain is just the input for which the function is defined. Hope this helps.
madreJ [45]3 years ago
3 0

Answer:

The correct option is B) the set of all first elements of the function.

Step-by-step explanation:

Consider the provided information.

Domain: Domain is the set of all values which a function can take or the domain is the set of all first elements of ordered pairs.

For example:

The domain of the polynomial function is the set of all real numbers.

Consider the another example:

A = {(green,mark), (yellow,Kyle), (blue,Elaine)}

The domain is {green,yellow,blue}

Therefore, the correct option is B) the set of all first elements of the function.

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if a point on the graph of a proportional relationship is located at 3,4, can you determine the constant of proportionality? exp
Mashutka [201]

The answer is: No, because we also need to know the type of proportionality


In mathematics, we talk about proportionality when two variables are related and this relationship is that there is a constant ratio between them. There are two types of proportionality.


1. Direct Proportionality:

If there are two variables x and y, we can write the relationship between them as follows:


y=kx


So, by substituting the point in this equation we have that the constant of proportionality is:


4=k(3) \\ \\ \therefore \boxed{k=\frac{4}{3}}


2. Inverse Proportionality:


In this case, the relationship is:


y=\frac{k}{x}


So, the constant of proportionality is:


4=\frac{k}{3} \\ \\ \therefore \boxed{k=12}


As you can see, we have found two different values of the constant of proportionality. So, it is necessary to know the type of proportionality.

7 0
3 years ago
Let k ( x ) = 2 x + 3 and m ( x ) = 3 x 2 + 7 x − 10 . Find the indicated value. M ( k ( − 4 ) ) =
murzikaleks [220]

Answer: 30

Step-by-step explanation:

Given

k(x)=2x+3

M(x)=3x^2+7x-10

M\left(k(x)\right) is given by replacing the x by k(x) from the M(x)

\Rightarrow M\left(k(x)\right)=3(2x+3)^2+7(2x+3)-10\\\Rightarrow M\left(k(x)\right)=3(4x^2+9+12x)+14x+21-10\\\Rightarrow M\left(k(x)\right)=12x^2+50x+38

Now, M\left(k(-4)\right) is

\Rightarrow M\left(k(-4)\right)=12(-4)^2+50(-4)+38\\\Rightarrow M\left(k(-4)\right)=192-200+38\\\Rightarrow M\left(k(-4)\right)=30

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