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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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Will give brainliest for right answer!
Annette [7]
This is a system of equations.  We solve it by setting it up so that when we add the two equations together, one of the variables will cancel out.  We can do this by multiplying the bottom equation by 3.  This will make our system of equations equal:

3a + b + 225
-3a + 3b = 75

Now we add these two equations together, because the a terms will cancel out.

4b = 300.

We can find what b is by dividing both sides by 4.

b = 75

Next, we plug in b in one of the equations and solve for a.  You can use either equation, but I will use the second.

75 - a = 25

Subtract 25 from both sides and add a to both sides:

a = 50

So, the first option is correct.  A = 50 and b = 75.
8 0
3 years ago
-3x + 5 = -4x - 10 solution??? ill give brainlist
mrs_skeptik [129]

Answer:

x=-10

Step-by-step explanation:

hope this helps, sorry if i get wrong

DO NOT PICK ANSWER IT IS WRONG.

3 0
2 years ago
Read 2 more answers
URGENT!!
ss7ja [257]

Answer:

A. 14.7cm

Step-by-step explanation:

In Triangle ABC

\angle A=60^\circ\\\angle B=45^\circ\\b=12cm

We are to determine the measure of side a.

Using Law of Sines

\dfrac{a}{\sin A}= \dfrac{b}{\sin B}\\\dfrac{a}{\sin 60^\circ}= \dfrac{12}{\sin 45^\circ}\\\\$Cross multiply\\a*sin 45^\circ=12*\sin 60^\circ\\$Divide both sides by sin 45^\circ\\\dfrac{a*sin 45^\circ}{sin 45^\circ}= \dfrac{12*\sin 60^\circ}{\sin 45^\circ}\\\\a=14.7$ cm (to the nearest tenth of a cm)

The correct option is A.

3 0
3 years ago
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A gardener makes a new circular flower bed. The bed is twelve feet in diameter. Calculate the circumference and the area of the
Eduardwww [97]
37.7 is the circumference, 113.1 is the area, use a calculator for more in depth looks.
5 0
3 years ago
George’s car can drive 30 miles on 1/2 gallon of gas. How many gallons of gas will he use to drive 20 miles?
SOVA2 [1]
The best way to do this is to set up a proportion

30       20
----  = -----
0.5      x

then cross multiply and divide

20 × 0.5 = 10/30=1/3

he needs 1/3 tank of gas to drive 20 miles

I hope I've helped!
8 0
3 years ago
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