determine-the-intervals-on-which-the-function-gx2x618x545x450-gx-2x6-18x5-45x4-5

Question

Determine the intervals on which the function $g (x) = 2 x^{6} - 18 x^{5} + 45 x^{4} + 50$ is concave up or concave down. Identify any inflection points.

Accepted Answer

Concave up on $g (x) = 2 x^{6} - 18 x^{5} + 45 x^{4} + 50$

No inflection points

Answer

Concave up on $g (x) = 2 x^{6} - 18 x^{5} + 45 x^{4} + 50$

Concave down on $open paren 0 comma infinity close paren$

Inflection point at $x equals 0$

Answer

Concave up on $g (x) = 2 x^{6} - 18 x^{5} + 45 x^{4} + 50$

Concave down on $open paren 0 comma infinity close paren$

Inflection point at $x equals 0$

Answer

Concave up on $g (x) = 2 x^{6} - 18 x^{5} + 45 x^{4} + 50$

Concave down on $open paren 0 comma 3 close paren$

Inflection points at $x equals 0 comma 3$

Determine the intervals on which the function g(x)=2x6−18x5+45x4+50 g(x) = 2x^6 - 18x^5 + 45x^4 + 50 is concave up or concave down. Identify any inflection points.

Determine the intervals on which the function $g (x) = 2 x^{6} - 18 x^{5} + 45 x^{4} + 50$ is concave up or concave down. Identify any inflection points.