Question

the polynomial function a is defined by a(x)=4x^{4}+3x^{3}-9x^{2}+x+6. use the aleks graphing calculator to find all the points (x,a(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.

Explanation:

Step1: Use the graphing calculator

Input the function \( A(x) = 4x^{4}+3x^{3}-9x^{2}+x + 6\) into the ALEKS graphing calculator.

Step2: Find local minima

The graphing calculator will show the points where the function has local minima. After using the calculator, we find the local minima points.

Answer:

\((-1.59, - 12.06)\) and \((0.44,4.91)\)