determine-the-intervals-on-which-the-following-function-is-concave-up-or-concave

Question

Determine the intervals on which the following function is concave up or concave down. Identify any inflection points.

$k (x) = \sqrt[3]{x + 5}$

Accepted Answer

Concave up on $(- \infty, - 5)$

Concave down on $open paren negative 5 comma infinity close paren$

Inflection point at $x = - 5$

Answer

Concave up on $(- \infty, - 5)$

Concave down on $(- \infty, - 5)$

Inflection point at $x = - 5$

Answer

Concave up on $(- \infty, - 5)$

Concave down on $open paren negative 5 comma infinity close paren$

Inflection point at $x = - 5$

Answer

Concave up on $(- \infty, - 5)$

Concave down on $(- \infty, - 5)$

Inflection point at $x = - 5$

Determine the intervals on which the following function is concave up or concave down. Identify any inflection points.k(x)=x+53k(x)=\sqrt[3]{x+5}