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dexar [7]
3 years ago
7

The graph of the relation H is shown below.

Mathematics
1 answer:
hram777 [196]3 years ago
7 0

Using the concepts of domain and range, it is found that:

  • The domain of the relation is {-1, 2, 3, 4}.
  • The range of the relation is {-1, 0, 2, 4}.

<h3>What are the domain and range of a relation?</h3>
  • The domain of a function is the set that contains all possible input values. On a graph, it is given by the values of x.
  • The range of a function is the set that contains all possible output values. On a graph, it is given by the values of y.

In this graph, the points represented are given by: {-1, 2}, {2,0}, {3,-1} and {4,4}. Hence:

  • The domain of the relation is {-1, 2, 3, 4}.
  • The range of the relation is {-1, 0, 2, 4}.

More can be learned about the concepts of domain and range at brainly.com/question/10891721

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Starting at home, Ishaan traveled uphill to the gift store for 18 minutes at just 10 mph. He then traveled back home along the s
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The exponential to describe $100 at 2% interest, compounded annually, for x years is y=100(1.02)^{x}

<h3><u>Solution:</u></h3>

Given that $ 100 at 2 % interest , compounded annually for "x" years

<em><u>The formula for compound interest, including principal sum, is:</u></em>

A=P\left(1+\frac{r}{n}\right)^{n t}

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

Here in this sum,

P = $ 100

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Here given that compounded annually , so n = 1

Let "y" be the amount after "x" years

Substituting the values in formula we get,

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Thus the exponential to describe is y=100(1.02)^{x}

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