Question

the polynomial function h is defined by h(x)=-4x^{4}-9x^{3}+2x^{2}+7x-2. use the aleks graphing calculator to find all the points (x,h(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. (x,h(x))=\square

Explanation:

Step1: Input the function

Input the function \( h(x)=-4x^{4}-9x^{3}+2x^{2}+7x - 2 \) into the ALEKS graphing calculator.

Step2: Find local minima

Use the graphing calculator's feature to find the local minima points. After calculation, we get the points.

Step3: Round the values

Round the \( x \) and \( h(x) \) values of the local minima points to the nearest hundredth.

Answer:

\((-1.75, -19.07)\) and \((0.79, 1.57)\)