A twice-differentiable function has $q^{\prime \prime }\left(x\right)=-\left(x+4\right)\left(x-6\right)$. On which set is $q$ CONCAVE UP?

Where does $p(x)=2x^3-6x^2-48x$ have a point of inflection?

On which set is $s(x)=2x^3-12x^2+18x$ CONCAVE DOWN?

Where does $f(x)=\cos x$ have points of inflection on $\left(0,2\pi \right)$, with $x$ in radians?

A twice-differentiable function has $r^{\prime \prime }\left(x\right)=-\left(x+6\right)\left(x+5\right)$. On which set is $r$ CONCAVE UP?

On which set is $f(x)=e^{-x}$ concave up?

On which set is $f(x)=\ln x$ concave down, for $x>0$?

On which set is $f(x)=\frac{1}{x}$ concave up?

On which set is $f(x)=2x^3-12x^2$ CONCAVE UP?

On which set is $f(x)=\sin x$ concave down on $\left(0,2\pi \right)$, with $x$ in radians?

Where does $v(x)=2x^3+6x^2-48x$ have a point of inflection?

Where does $f(x)=\ln \left(x^2+1\right)$ have points of inflection?

A twice-differentiable function has $w^{\prime \prime }\left(x\right)=-\left(x+6\right)\left(x-4\right)$. On which set is $w$ CONCAVE UP?

Where does $f(x)=\sin x$ have points of inflection on $\left(0,2\pi \right)$, with $x$ in radians?

On which set is $v(x)=2x^3-6x^2-18x$ CONCAVE UP?

On which set is $p(x)=2x^3+6x^2-48x$ CONCAVE UP?

On which set is $u(x)=2x^3-18x^2+48x$ CONCAVE UP?

A twice-differentiable function has $f^{\prime \prime }\left(x\right)=-\left(x+6\right)\left(x-6\right)$. On which set is $f$ CONCAVE UP?

On which set is $f(x)=\cos x$ concave up on $\left(0,2\pi \right)$, with $x$ in radians?

Where does $f(x)=x{e}^x$ have a point of inflection?

On which set is $p(x)=2x^3+6x^2$ CONCAVE DOWN?

A twice-differentiable function has $p^{\prime \prime }\left(x\right)={\left(x-9\right)}^2$. Where does $p$ have a point of inflection?

A twice-differentiable function has $s^{\prime \prime }\left(x\right)={\left(x+7\right)}^2$. Where does $s$ have a point of inflection?

On which set is $r(x)=2x^3-6x^2-48x$ CONCAVE DOWN?

Where does $v(x)=2x^3+18x^2+48x$ have a point of inflection?

Where does $w(x)=2x^3+6x^2-18x$ have a point of inflection?

On which set is $r(x)=2x^3+6x^2$ CONCAVE UP?

On which set is $r(x)=2x^3-6x$ CONCAVE DOWN?

Where does $q(x)=2x^3-12x^2+18x$ have a point of inflection?

Where does $r(x)=2x^3-6x^2$ have a point of inflection?