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expeople1 [14]
3 years ago
11

The set of all values that a function will return as outputs is called the _________ of the function.

Mathematics
1 answer:
geniusboy [140]3 years ago
7 0

Answer:

Range.

Step-by-step explanation:

In Computer programming, a variable can be defined as a placeholder or container for holding a piece of information that can be modified or edited.

Basically, variable stores information which is passed from the location of the method call directly to the method that is called by the program.

For example, they can serve as a model for a function; when used as an input, such as for passing a value to a function and when used as an output, such as for retrieving a value from the same function. Therefore, when you create variables in a function, you can can set the values for their parameters.

Furthermore, the set of all values that a function will return as outputs is called the range of the function.

This ultimately implies that, the range of a function is simply a complete set of possible values that are generated from a dependent variable after a domain has been substituted. Thus, a range is the resulting values from a data set when all the possible input values have been substituted.

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Consider the differential equation y'' − y' − 12y = 0. Verify that the functions e−3x and e4x form a fundamental set of solution
Inga [223]

Answer:

e^(-3x) and e^(4x) form a fundamental set of solutions of the differential equation

y'' - y' - 12y = 0.

Since their wronskian is 7e^x and not 0

Step-by-step explanation:

Given the differential equation

y'' - y' - 12y = 0.

We are required to verify that the functions e^(-3x) and e^(4x) form a fundamental set of solutions of the differential equation on the interval (−[infinity], [infinity]). They form a fundamental set if they are linearly independent, and they are linearly independent if their wronkian is not zero, otherwise, they are linearly dependent.

Now, we need to find the Wronskian of e^(-3x) and e^(4x), and see if it is equal to zero or not.

The wrinkles of two functions y1 and y2 is given as the determinant

W(y1, y2) = |y1...........y2|

......................|y1'.........y2'|

W(e^(-3x), e^(4x))

= |e^(-3x)............e^(4x)|

...|-3e^(-3x)......4e^(4x)|

= e^(-3x) × 4e^(4x) - (-3e^(-3x) × e^(4x))

= 4e^x + 3e^x

= 7e^x

≠ 0

Since the wronskian is not zero, we conclude that the are linearly independent, and hence, form a set of fundamental solution.

3 0
3 years ago
Rank the following values from largest to smallest
jarptica [38.1K]

Answer:

Number of blades of grass on a football field.

Number of Pages in the novel.

Number of members in your immediate family.

Number of musicians.

Step-by-step explanation:

¯\_(ツ)_/¯

4 0
3 years ago
Read 2 more answers
HELP HURRY PLS Which shows the reflection of the figure over the given line
Lady_Fox [76]

the second one I believe

5 0
3 years ago
Read 2 more answers
What is the name for numbers that are greater than zero
grigory [225]

Those are positive numbers.

Those that are less than zero are called negative numbers.

Zero itself can be considered both, or neither.

3 0
3 years ago
Can someone please help me??
Semmy [17]

since we don't know any of your vocabulary, I might not be using the ones you learned


since we have points A and B and points F(A) and F(B), I think they want us to use the word 'translation'

"The function F(x) translates each point to the right without moving them up or down." would be my description


also the 2 lines are paralell


7 0
3 years ago
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