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Create a formula for a function f(x) that has f(7)=6

1 Answer

5 votes

Answer:

f(x) = x-1

Explanation:

You want a function f(x) such that f(7) = 6.

Function

As you know, there are infinitely many possibilities. The simplest is ...

f(x) = 6

A linear function that goes through the point (x, y) = (7, 6) can have any slope m. Such a function can be written in the form ...

f(x) = m(x -7) +6

If the slope is 1, then this becomes ...

f(x) = x -1

Any parent function that includes the point (0, 0) can be translated to the point (7, 6). For example, ...

f(x) = sin(x -7) +6

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Create a formula for a function f(x) that has f(7)=6-example-1
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