How do you graph #y=1/3absx#?

Answer 1

Graph an absolute value function with a slope of #+-1/3#.

The "parent function" of #y=1/3absx# is the absolute value equation #y=color(red)1absx#.
It has a "V-shape" with a vertex at #(0,0)#. The slope of the lines that form the V are #color(red)(+-1)#.

graph{abs(x) [-10, 10, -5, 5]}

The fraction #color(red)(1/3)# represents the slopes #color(red)(+-1/3)# of the lines that form the "V" of #y=color(red)(1/3)absx#.

graph{1/3absx [-10, 10, -5, 5]}

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Answer 2

The graph of ( y = \frac{1}{3} |x| ) is a V-shaped graph that opens upwards, with its vertex at the origin (0,0) and slopes upward on both sides.

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Answer from HIX Tutor

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.

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.

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