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Evgen [1.6K]
3 years ago
12

Functions can be defined using graphs, tables, and ordered pairs. What is the range of a function? Group of answer choices

Mathematics
2 answers:
pshichka [43]3 years ago
6 0

Answer:

The range is the output.

Step-by-step explanation:

A function consists of two parts:

1. Domain - Domain is the set of all values that are inputted to a function. So, domain is set of all possible values of x.

2. Range - It is the set of all output values for given input values. It is the set of all possible values of y for given x values.

Therefore, range is the output to a function.

suter [353]3 years ago
3 0

Answer:

The range is the output of any given function for all possible values of x.

Step-by-step explanation:

Range of a function  :  It is the set of all possible resulting values when we have substituted every possible value x for the given function.

if y = f(x) is the given function, then

y  :  { Set of all resulting answered} = Range

and x :  { set of all values substituted} = Domain

Hence, the range is the output of any given function for all possible values.

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Find a matrix representation of the transformation L(x, y) = (3x + 4y, x − 2y).
mario62 [17]

Answer:

\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}3&1\\4&-2\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

Step-by-step explanation:

The general matrix representation for this transformation would be:

\left[\begin{array}{cc}x&y\end{array}\right] * A = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

As the matrix A should have the same amount of rows as columns in the firs matrix and the same amount of columns as the result matrix it should be a 2x2 matrix.

\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

Solving the matrix product you have that the members of the result matrix are:

3x+4y = a*x + c*y

x - 2y = b*x + d*y

So the matrix A should be:

\left[\begin{array}{cc}3&1\\4&-2\end{array}\right]

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3 years ago
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marin [14]
You have to add 5, 12, 21, and 19 and that will get you the answer of 57
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