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3 years ago

Use the graph below to answer parts A-G

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

6 0

Answer: What graph

Step-by-step explanation:

What graph

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Alik [6]

Answer:

See Below.

Step-by-step explanation:

We want to show that the function:

$f(x) = e^x - e^{-x}$

Increases for all values of <em>x</em>.

A function is increasing whenever its derivative is positive.

So, find the derivative of our function:

$\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]$

Differentiate:

$\displaystyle f'(x) = e^x - (-e^{-x})$

Simplify:

$f'(x) = e^x+e^{-x}$

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>

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3 years ago

Is it considered a parallelogram?

scZoUnD [109]

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2 years ago

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