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marusya05 [52]
3 years ago
9

The graph below is a portion of a complete graph. Which graph below is the complete graph assuming it is an even function?

Mathematics
1 answer:
Ierofanga [76]3 years ago
8 0

Answer:

Option b

Step-by-step explanation:

A function is even if and only if f(-x) = f(x).

This means that there is the same value of y for x_0 and for -x_0

Where x_0 is any point belonging to the function .

Therefore you must select a graph whose ordered pairs are of the form (x_0, y_0) and (-x_0, y_0)

Therefore the correct answer is option b. Assume that each box in the graph equals 1 unit. Then, for x = 2 y = -3 and for x = -2 y = -3. Then it is shown that the function is even.

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If y=8 when x =3, find y when x=45
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Let's make things easier by simplifying things.

y = 8 and x = 3 is more likely to be understood as a ratio. So for the rest of the answer, their relationship would be represented as y:x

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The problem would be finding y when x = 45

Let us proceed on using the previous equation and substitute x with 45 which would look like this:

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Ratios can also be expressed as fractions which would make things more understandable and easy to solve. So the new form of our equation would be like this:

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Then we proceed with a cross multiplication where the equation becomes like as what is shown below:

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