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jeyben [28]
2 years ago
10

Which relation is a function?

Mathematics
2 answers:
laila [671]2 years ago
8 0
The last graph (absolute value graph with a “v” shaped line) represents a function.

By definition, A function is a relation in which no two ordered pairs have the same input (or x-values) and different outputs (y-values).

A great way to determine whether a graph represents a function is by doing a Vertical Line Test.

The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

To use the vertical-line test, imagine dragging a ruler held vertically across the
graph from left to right. If the graph is that of a function, the edge of the ruler would hit the graph only once for every x -value.

Attached is an edited version of the image you’ve uploaded where I did the Vertical Line Test (sorry for poor editing, I’m using my phone at the moment while typing this answer). The first graph with a circle shows that each vertical line contains more than 1 red point in it. It means that it the x-values have more than 1 corresponding y-value.

The 2nd graph (horizontal parabola) also failed the VLT because each vertical line drawn contained more than 1 point in it, meaning each vertical line drawn crossed the graph more than once.

The 3rd graph is a vertical line, which obviously failed the VLT because it contained more than 1 point.

The last graph (absolute value graph) passed the VLT because each vertical line contains only 1 point at most. Therefore, it is the correct answer.

Please mark my answers as the Brainliest if you find this helpful :)

Fudgin [204]2 years ago
6 0

It's the one second below the question because it does not have two outcomes for x. For example in a relation x could result in y = 2 or y = -2.

Hope this helps! :)

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damaskus [11]

y= 4 hope this helps :)


8 0
3 years ago
Which proportions show that the triangles are not similar?
jasenka [17]

Answer:

AC and DF

Step-by-step explanation:

We can see that the triangles have a scale factor of 3.

1 * 3 = 3 (AB and DE)

2 * 3 = 6 (BC and EF)

However...

2 * 3 = 6 not 7 (AC and DF)

3 0
2 years ago
I have been stuck on this for days someone pls help!!!!
sdas [7]
Use the Sum of Angles In a Triangle therom.
8 0
3 years ago
Determine whether this situation is linear or nonlinear? Explain your reasoning
jenyasd209 [6]
You didn't describe the situation so I can't answer.
However: if the graph of the situation is a straight line then the situation is linear, and if the graph is not a straight line then it is nonlinear.
8 0
3 years ago
What is the effect in the time required to solve a prob- lem when you double the size of the input from n to 2n, assuming that t
Inga [223]

Answer:

f(2n)-f(n)=log2

b.lg(lg2+lgn)-lglgn

c. f(2n)/f(n)=2

d.2nlg2+nlgn

e.f(2n)/(n)=4

f.f(2n)/f(n)=8

g. f(2n)/f(n)=2

Step-by-step explanation:

What is the effect in the time required to solve a prob- lem when you double the size of the input from n to 2n, assuming that the number of milliseconds the algorithm uses to solve the problem with input size n is each of these function? [Express your answer in the simplest form pos- sible, either as a ratio or a difference. Your answer may be a function of n or a constant.]

from a

f(n)=logn

f(2n)=lg(2n)

f(2n)-f(n)=log2n-logn

lo(2*n)=lg2+lgn-lgn

f(2n)-f(n)=lg2+lgn-lgn

f(2n)-f(n)=log2

2.f(n)=lglgn

F(2n)=lglg2n

f(2n)-f(n)=lglg2n-lglgn

lg2n=lg2+lgn

lg(lg2+lgn)-lglgn

3.f(n)=100n

f(2n)=100(2n)

f(2n)/f(n)=200n/100n

f(2n)/f(n)=2

the time will double

4.f(n)=nlgn

f(2n)=2nlg2n

f(2n)-f(n)=2nlg2n-nlgn

f(2n)-f(n)=2n(lg2+lgn)-nlgn

2nLg2+2nlgn-nlgn

2nlg2+nlgn

5.we shall look for the ratio

f(n)=n^2

f(2n)=2n^2

f(2n)/(n)=2n^2/n^2

f(2n)/(n)=4n^2/n^2

f(2n)/(n)=4

the time will be times 4 the initial tiote tat ratio are used because it will be easier to calculate and compare

6.n^3

f(n)=n^3

f(2n)=(2n)^3

f(2n)/f(n)=(2n)^3/n^3

f(2n)/f(n)=8

the ratio will be times 8 the initial

7.2n

f(n)=2n

f(2n)=2(2n)

f(2n)/f(n)=2(2n)/2n

f(2n)/f(n)=2

5 0
2 years ago
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