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Vika [28.1K]
2 years ago
12

Which graph does it represent a function?

Mathematics
2 answers:
Rina8888 [55]2 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]2 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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<u>Answer:</u>

Money earned by selling 175 magazine subscriptions will be 3176.25

<u>Solution: </u>

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For each additional subscription sold, magazine company will pay you $0.20 more than what was paid for previous subscription.

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And for third subscription, payments will be = 0.75 + 0.20 = 0.75 + 0.20 x 2

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<u><em>Formula for sum of arithmetic sequence is as follows </em></u>

\mathrm{S}_{\mathrm{n}}=\frac{n}{2}[2 a+(n-1) d]

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\begin{array}{l}{=>\mathrm{S}_{175}=\frac{175}{2}[(2 \times 0.75)+(175-1) 0.20]} \\\\ {=>\mathrm{S}_{175}=\frac{175}{2}[1.5+(174 \times 0.20)]} \\\\ {\Rightarrow \mathrm{S}_{175}=\frac{175}{2} \times 36.3=3176.25}\end{array}

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