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What is the linear functions f with the values f (-6) = 10 and f (2) = 10?

1 Answer

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Given:

f (-6) = 10 and f (2) = 10?

To find:

The linear function f.

Solution:

If f(x)=y, then the function passes through (x,y).

We have, f (-6) = 10 and f (2) = 10, it means the function passes through (-6,10) and (2,10). So, the equation is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-10=\dfrac{10-10}{2-(-6)}(x-(-6))

y-10=\dfrac{0}{2+6}(x+6)

y-10=0

Adding 10 on both sides, we get

y=10

Function form is

f(x)=10

Therefore, the required function is f(x)=10. It is a constant function.

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Stephan Heller
15.5k 3 10 26
answered 9 months ago