the polynomial function $g$ is defined by $g(x)=-3x^{4}+7x^{3}+3x^{2}-9x - 1$. use the aleks graphing…

the polynomial function $g$ is defined by $g(x)=-3x^{4}+7x^{3}+3x^{2}-9x - 1$. use the aleks graphing calculator to find all the points $(x,g(x))$ where there is a local minimum. round to the nearest hundredth. if there is more than one point, enter them using the \and\ button.

the polynomial function $g$ is defined by $g(x)=-3x^{4}+7x^{3}+3x^{2}-9x - 1$. use the aleks graphing calculator to find all the points $(x,g(x))$ where there is a local minimum. round to the nearest hundredth. if there is more than one point, enter them using the \and\ button.

Answer

Explanation:

Step1: Use graphing calculator

Use ALEKS graphing calculator to graph the function $g(x)=-3x^{4}+7x^{3}+3x^{2}-9x - 1$.

Step2: Locate local minimum points

Identify the $x$ - coordinates of the local minimum points on the graph. Then find the corresponding $y = g(x)$ values.

Step3: Round values

Round the $x$ and $g(x)$ values to the nearest hundredth.

Answer:

Since this requires using a specific graphing - calculator tool (ALEKS) which cannot be directly executed here, you should follow the above steps on the ALEKS graphing calculator to get the points $(x,g(x))$ where there is a local minimum and round them to the nearest hundredth.