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Mamont248 [21]
2 years ago
14

Mapping diagram: Is it a function? (yes / no ) Why or why not?

Mathematics
1 answer:
sashaice [31]2 years ago
5 0
<h3>It is a function</h3>

Why? Because each input maps to <u>exactly one</u> output. The input oval represents the domain (set of all possible inputs). The output oval is the range, which is the set of all possible outputs. If we had something like the input 0 mapping to the outputs 2 and 4 at the same time, then we wouldn't have a function.

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If f is a continuous function such that the integral from 1 to 4 of f of x, dx equals 10, evaluate the integral from 2 to 8 of 2
IgorLugansk [536]

Answer: 10

Step-by-step explanation:

Since integral from 1 to 4 of f(x) =10

To evaluate integral from 2 to 8 of 2 times f(2x), using substitution method

Let U = 2x, dU = 2dx, dx = dU/2

Evaluate the limit, upper limit gives dU = 2*4 = 8, lower limit gives dU = 2*1 = 2.

Since this limit are the same as the limit for the question,

Therefore, F(4) - F(1) = F(8) - F(2) = 10

Substituting dx=dU/2

Gives,

Integral from 2 to 8 of 2 times f(2x)= (1/2)(2)(F(8)-F(2)) = 10

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3 years ago
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Step-by-step explanation:


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3 years ago
The number of 7th graders attending Middle field Science Academy this year is 130% of last year’s total. If 500 7th graders atte
podryga [215]

Answer:

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6 0
3 years ago
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(−2k <br> 3<br> −7k <br> 2<br> +5k)+(6k <br> 2<br> +3k)=
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Answer: 5k +7

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Step-by-step explanation:

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