# Does the function #f(x)= -x^2+6x-1# have a minimum or maximum value?

The parabola will have a maximum value because the

graph{-x^2+6x-1 [-15, 15, -10, 10]}

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The function ( f(x) = -x^2 + 6x - 1 ) has a maximum 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.

- How do you find the intervals of increasing and decreasing given #y=(3x^2-3)/x^3#?
- How do you find the maximum value of # y = -x^2 + 8x - 4#?
- Is #f(x)=4x-e^(3x-2) # increasing or decreasing at #x=-2 #?
- How do you determine if rolles theorem can be applied to # f(x) = sin 2x# on the interval [0, (pi/2)] and if so how do you find all the values of c in the interval for which f'(c)=0?
- How do you find the absolute maximum and absolute minimum values of f on the given interval: #f(t) =t sqrt(25-t^2)# on [-1, 5]?

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