The graph of has a vertical tangent or a vertical cusp at c
The definition of a vertical cusp is that the one sided limits of the derivative approach opposite : positive infinity on one side and negative infinity on the other side . A vertical tangent has the one sided limits of the derivative equal to the same sign of infinity
The derivative at the relevant point is undefined in both the cusp and the vertical tangent
The function is
The vertical tangent means that the derivative at that point approaches infinity
Since the slope is infinitely large
Test one point in each of the region formed by the graph
If the point satisfies the function then shade the entire region to denote that every point in the region satisfies the function .
To draw the table
To draw a graph
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