## Related questions with answers

Question

Is the statement true or false for a function f whose domain is all real numbers? If a statement is true, explain how you know. If a statement is false, give a counterexample. If $f ^ { \prime } ( x ) \geq 0$ for all x, then $f ( a ) \leq f ( b )$ whenever $a \leq b.$

Solution

VerifiedAnswered 6 months ago

Answered 6 months ago

Step 1

1 of 2Given : If $f’(x)\geq 0$ for all $x$, then $f(a)\leq f(b)$ whenever $a\leq b$

To find : If the statement is true or false

The above statement is TRUE.

According to increasing function theorem, if $f’(x)\geq 0$, $f(a)\geq f(b)$ if $a\geq b$

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