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3 years ago

Which graph does it represent a function?

Mathematics

2 answers:

Rina8888 [55]3 years ago

3 0

Answer:

The graph in the bottom right (The circle) is not a function

Step-by-step explanation:

As the circle has multiple y values for each x value, it is not a function. In other words, that graph fails the vertical line test.

DaniilM [7]3 years ago

3 0

Answer:

IV graph

Step-by-step explanation:

Function: It is relation between x and y.For each x, there is a unique value of y.

Only one output for one input.

One value of x cannot have more than one images.

Vertical line test:

When we draw a vertical line passing through any given value of x and cut the curve more than one points then, the curve does not represents the function.

When a vertical line cuts the curve at one point then, the curve represents the function.

In I graph, We can see that

Image of 1 is 2.

Image of 2 is 1.

Image of -2 is 1.

There is only one output for input.

Hence, it represents the function.

In II graph,

By vertical line test, when we draw a vertical line x=1 then it cuts the graph at one point only.

Hence, it represents the function.

In III graph,

Image of 1 is 1.

Image of 0 is 2.

Image of -1 is 3.

Image of -2 is 4.

There is only one output for 1 input.

Hence, it represents the function.

In IV graph,

When we draw a vertical line x=1 then , it cuts the curve at two points.

Therefore, given circle does not represents the function.

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Answer:

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Step-by-step explanation:

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3 years ago

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Sveta_85 [38]

Answer:

Step-by-step explanation:

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3 years ago

Consider the diagram below. Which of the following represent the values of x,y, and z to the nearest hundredth?

astraxan [27]

See the attached figure to better understand the problem

we know that
in the triangle BCD
y²+5.66²=z²-------> y²=z²-5.66²------> equation 1

in the triangle ABC
y²+5.66²=x²-------> y²=x²-5.66²------> equation 2

equals 1 and 2

z²-5.66²=x²-5.66²--------> z²=x²---------> z=x

if z=x then
angle A=45°
angle D=45°

in the triangle ABD
cos 45=z/(5.66*2)-------> z=11.32*cos 45-----> 11.32*√2/2----> 8
z=8
x=8

y²=z²-5.66²------> 8²-5.66²-----> y²=31.96------> y=5.65

the answer is
the value of x is 8
the value of z is 8
the value of y=5.65