How do you graph the function #f(x) = 1/3 (x2)^2 +3#?
Its graph is a parabola opening downward with vertex
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To graph the function ( f(x) = \frac{1}{3}(x2)^2 + 3 ):

Identify the vertex: The vertex form of a quadratic function is ( f(x) = a(xh)^2 + k ), where ( (h, k) ) represents the vertex. In this case, the vertex is ( (2, 3) ).

Determine the direction of the parabola: Since the coefficient of ( x^2 ) is negative (( \frac{1}{3} )), the parabola opens downwards.

Find additional points: You can choose other points by substituting values of ( x ) into the equation to find corresponding ( y ) values.

Plot the vertex and additional points on the coordinate plane.

Draw a smooth curve through the points to represent the graph of the function.
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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.
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