How do you use the important points to sketch the graph of #3x^28#?
We possess:
Let's look at a few of this function's characteristics:
When x=0, f(0) = 8.
which provides us with sufficient data to draw the graph, which is accomplished in this case by utilizing the builtin Socratic graphing functionality:
diagram{3x^28 [5, 5, 10, 5]}
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To sketch the graph of (3x^2  8), follow these steps:

Identify the important points:
 Vertex: To find the vertex, use the formula (x = \frac{b}{2a}) where (a = 3) and (b = 0).
 yintercept: Substitute (x = 0) into the equation.
 xintercepts: Set (y = 0) and solve for (x).

Plot the important points on a coordinate plane.

Determine the direction of the graph by considering the coefficient of (x^2). Since it's positive, the parabola opens upwards.

Sketch the graph through the important points, ensuring it's symmetric about the axis of symmetry (the line passing through the vertex).

Draw the graph smoothly, making sure it doesn't intersect itself.
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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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