Question

26. Determine o valor de m para que a função f(x) = mx + x/2 +7 seja crescente:

a) m > -1/2 b) m 1 e) m < 1 b​

Answer 1

$\Large\boxed{\begin{array}{l}\sf f(x)=mx+\dfrac{x}{2}+7\\\\\sf f(x)=\underbrace{\bigg(\sf m+\dfrac{1}{2}\bigg)}_{a}x+7\\\\\sf para\,que\,a,func_{\!\!,}\tilde ao\,~f(x)=ax+b\\\sf seja\,crescente\,devemos\,ter\,a > 0.\\\sf m+\dfrac{1}{2} > 0\\\sf m > -\dfrac{1}{2}\end{array}}$