# Does the function #f(x) = x^2 - 2x + 2# have a maximum or minimum value?

Maximum value :

graph{x^2-2 x +2 [-10, 10, -5, 5]}

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The function ( f(x) = x^2 - 2x + 2 ) has a minimum value.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What are the local extrema of #f(x)= x^3 - 9x^2 + 19x - 3 #?
- What are the critical values, if any, of # f(x)= x cos x −3 sin x +2x in [0,2pi]#?
- How do you find the number c that satisfies the conclusion of the Mean Value Theorem for the function #f(x)=x^3 - 2x + 1# on the interval [0,2]?
- How do you find the intervals of increasing and decreasing using the first derivative given #y=xsqrt(16-x^2)#?
- Given the function #f(x)=x/(x+9)#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [1,4] and find the c?

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