Question

3. Identify the maximum value of the quadratic function given by the equation (x)=x²-2x+3

Answer 1

There is no maximum value.

Step-by-step explanation:

1) The graph is an upward opening parabola; there is no maximum.

2) limx→∞(x2+2x+3)=∞, so there is no maximum.

Using y=f(x),3)

f'(x)=2x+2=0 at x=−1 . Therefore, −1

is the only critical number and the first or second derivative test will show that f(−1) is a minimum, not a maximum.