Solve this following

Question:

Show the function $f(\mathrm{x})=-2 \mathrm{x}+7$ is a strictly decreasing function on $\mathrm{R}$.

Solution:

Domain of the function is $R$ Finding derivative $f^{\prime}(x)=-2$

Which is less than 0

Means strictly decreasing in its domain i.e $R$

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