Question

the function f(x) = 9x + 8, x belong to real number is an increasing function. is it true or false, if false prove that.​

Answer 1

The function f(multiple 8 belong to real numbers is true

Answer 2

SOLUTION

TO DETERMINE

The function f(x) = 9x + 8, x belong to real number is an increasing function. is it true or false, if false prove that.

EVALUATION

Here the given function is

$\sf f(x) = 9x + 8$

Differentiating both sides with respect to x we get

$\sf f'(x) = 9$

Thus we see that

$\sf f'(x) > 0 \: \: \: \: \forall \: x \in \: R$

Thus f(x) is an increasing function.

Hence the statement is True

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