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3 years ago

Does this graph show a function explain how you know

Mathematics

2 answers:

Wewaii [24]3 years ago

8 0

C. No, the graph fails the vertical line test. I believe that is the answer.

fredd [130]3 years ago

6 0

Answer:

Option (C) is correct.

Step-by-step explanation:

A function f : A -> B means every element of A is mapped to a unique element of B, where A and B are non-empty sets.

Now, to check whether a graph is a function or not, there is a test called 'Vertical Line Test'.

In the test, we draw a vertical line passing through the graph. Then:

1. If the line cuts exactly at one point of the graph, then the given graph is a function.

2. If the graph cuts at more than one points, then the graph is not a function as it does not satisfy the definition a function.

Now, in the given graph, if you draw a vertical line on the right side of origin, it will cut at more than one point.

Hence, the graph fails the vertical line test and it is not a function.

So, option (C) is correct.

You might be interested in

There are 27 red or blue marbles in a bag. The number of red marbles is five less than three times the number of blue marbles. H

sveticcg [70]

The number of red marbles in the bag is 19 and the number of blue marbles is 8.

<u>Explanation:</u>

Let R be the number of red marbles

Let B be the number of blue marbles

According to the question,

R + B = 27 (Total number of marbles is 27 ) -1

R = 3B - 5 (Number of red marbles is 5 less than 3 times the number of blue marbles )

Substitute the right half of the second equation for R in the first equation

3B - 5 + B = 27

Add 5 to each side and combine the Bs

4B = 32

Divide both sides by 4

B = 8

Use this value of B in the first equation

R + 8 = 27

R = 19

Therefore, number of red marbles in the bag is 19 and the number of blue marbles is 8.

7 0

2 years ago

If m = 2 and b = - 4, what is the correct equation in slope-intercept form?

pav-90 [236]

Answer:

y=2x-4

Step-by-step explanation:

6 0

3 years ago

A fulcrum moving a resistance of 200 g has a distance to the fulcrum of 20 cm, the effort mass of 50 g has a distance to the ful

S_A_V [24]

Answer:

The ideal mechanical advantage (IMA) is $4$ .

Step-by-step explanation:

The ideal mechanical advantage is the ratio of length of longer lever $L_e$ to that of shorter lever $L_r$

IMA $\frac{L_e}{L_r}$

Please refer to the image attached.

We could see that the the resistance load moves $10\ cm$ cm towards the fulcrum so the distance of resistance load from fulcrum $= (20-10) =10\ cm$

Now the as the effort force moves $40\ cm$ towards the fulcrum overall distance from the fulcrum to the effort force (load) $=(80-40)=40\ cm$

Plugging the values of the distances in IMA formula we can have.

IMA $=\frac{(80-40)}{(20-10)} =\frac{40}{10} =4$ .

So the IMA of the fulcrum (simple machine) $= 4$

3 0

3 years ago

PLEASE HELP!!!!!!!!!!!!!

Anna35 [415]

$4y^2+2=(4y\cdot4y)+2\\
4y^2+2=16y^2+2 \leftarrow \text{not identity}\\\\
4y^2+2=(4y+y)+2\\
4y^2+2=5y+2 \leftarrow \text{not identity}\\\\
4y^2+2=4(y+y)+2\\
4y^2+2=8y+2 \leftarrow \text{not identity}\\\\
4y^2+2=4(y\cdot y)+2\\
4y^2+2=4y^2+2 \leftarrow \text{identity}$

So it's D.

8 0

3 years ago

Find the midpoint of the line segment joining the points (-1,-1) and (-3,12).

gregori [183]

Answer:

(-2, 11/2)

Step-by-step explanation:

use the mid-point formula!

((x1+x2)/2, (y1+y2)/2)

((-1+-3)/2, (-1+12)/2)

(-2, 11/2)

8 0

3 years ago