Question

find the maximum value of the function 7-2x-3x², and the equation of the axis of its curve​

Answer 1

Answer:

The maximum value of the function 7-2x-3x² is 7. The equation of the axis of its curve is x = -2/3.

Step-by-step explanation:

From the above question,

They have given := 7-2x-3x²

Here we have to find,

The maximum value of a function can be found by taking the derivative of the function and setting it equal to zero. This will give the coordinates of the point at which the maximum value of the function is found. To find the maximum value, you can then plug the coordinates into the original function and evaluate.

The equation of the axis of its curve​. 7-2x-3x² is 7 when x = -2/3

The axis of its curve is x = -2/3

Maximum value of the function  = 7

equation of the axis of its curve,x = -2/3

The maximum value of the function 7-2x-3x² is 7.

This occurs when x=-2/3. When x=-2/3, the equation 7-2x-3x² evaluates to 7.

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