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3 years ago

11

I need to give an equation for an absolute value function that has a minimum. How do I determine that it has a minimum?.

1 answer:

tatyana61 [14]3 years ago

5 0

To determine the minimum of an equation, we derive the <span>equation using differential calculus twice (or simply </span><span>take the second derivative of the function). If the </span><span>second derivative is greater than 0, then it is minimum; </span><span>else, if it is less than 1, the function contains the </span><span>maximum. If the second derivative is zero, then the </span><span>inflection point </span><span>is</span><span> identified.</span>

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BaLLatris [955]

Answer:

$f^{-1} = \frac{x-1}{2}$

Step-by-step explanation:

$f(x) = 2x+1$

<em>Replace it with y</em>

$y = 2x+1$

<em>Exchange the values of x and y</em>

$x = 2y+1$

<em>Solve for y</em>

$x = 2y+1$

<em>Subtracting 1 from both sides</em>

$2y = x-1$

<em>Dividing both sides by 2</em>

$y = \frac{x-1}{2}$

<em>Replace it by </em> $f^{-1}$

So,

$f^{-1} = \frac{x-1}{2}$

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