How do you graph #y>abs(4x)#?

Answer 1

Avery Alexander

Inequality Graph is available with a brief explanation.

For the inequality

#color(red)(y>|4x|)#

both the #x# and #y# intercepts are #( 0, 0 )#

Extreme Points of #|4x|#: Minimum at #( 0, 0 )#

Dashed Lines indicate that the value is NOT a part of the solution

A Table may be created with #x# and corresponding #y# coordinate values as shown below:

Every single #x# and the corresponding #y# value are found in the Shaded Region

Please refer to the graph below for more information:

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Answer 2

Isaiah Anthony

To graph ( y > \text{abs}(4x) ), follow these steps:

Graph the equation ( y = \text{abs}(4x) ).
Since ( y > \text{abs}(4x) ), shade the region above the graph of ( y = \text{abs}(4x) ).
The graph should include the area where ( y ) is greater than the absolute value of ( 4x ).

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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.

How do you graph #y&gt;abs(4x)#?

How do you graph #y>abs(4x)#?