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Serggg [28]
1 year ago
5

Visual domain and range

Mathematics
1 answer:
Mashutka [201]1 year ago
8 0

The domain of a graph of a function is  x ∈ [-8, 9] and the range of a graph of a function will be y ∈ [7, 0]

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function shown in the picture.

As we can see in the graph there are two bold dots are shown which represents at these points the function value exist.

At x = -8, y = 7

At x = 9, y = 6

At x = -3, y = 0

The domain of a function is x ∈ [-8, 9]

The range of a function is y ∈ [7, 0]

Thus, the domain of a graph of a function is  x ∈ [-8, 9] and the range of a graph of a function will be y ∈ [7, 0]

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

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Here is the complete question

Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 liters of a dye solution with a concentration of 1 g/liter. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2 liters/min, the well-stirred solution flowing out at the same rate.Find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value.

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㏑Q  = -t/100 + c

Q(t) = e^{(-t/100 + c)} = e^{(-t/100)}e^{c}  = Ae^{(-t/100)}\\Q(t) = Ae^{(-t/100)}

when t = 0, Q = 200 L × 1 g/L = 200 g

Q(0) = 200 = Ae^{(-0/100)} = Ae^{(0)} = A\\A = 200.\\So, Q(t) = 200e^{(-t/100)}

We are to find t when Q = 1% of its original value. 1% of 200 g = 0.01 × 200 = 2

2 = 200e^{(-t/100)}\\\frac{2}{200} =  e^{(-t/100)}

㏑0.01 = -t/100

t = -100㏑0.01

t = 460.52 min

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