A Function Defined for All X Has the Following Properties $f^{\prime}(4)=1 / 2$

True/False

A function defined for all x has the following properties:
• f is increasing
• f is concave down
• f (4)= 2
• $f^{\prime}(4)=1 / 2$
Is it possible that $f^{\prime}(1)=\frac{1}{4}$
?