The function is .

The standard form of quadratic function is .

Therefore, the values of .

a. Determine whether the function has maximum or minimum value:

The value of (negative), so the graph of function opens downward and has a maximum value.

b. Find the maximum value of the function:

The maximum value is y-coordinate of the vertex.

The x-coordinate of the vertex is .

To find the y - coordinate, substitute the value of  in the original equation, .

The maximum value is .

c. State the domain and range of the function:

The domain is all real numbers. The range is all real numbers less than or equal to the maximum value, or .

a. The function has a maximum value.

b. The maximum value of the function is .

c. The domain is all real numbers and the range is .