How do you find the important points to graph #f(x)= -x^2-4x#?
Check below for detail examination of the function.
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To graph the function ( f(x) = -x^2 - 4x ), you can follow these steps:
- Identify the vertex of the parabola using the formula ( x = -\frac{b}{2a} ) where ( a = -1 ) and ( b = -4 ).
- Substitute the value of ( x ) obtained from step 1 into the function to find the corresponding ( y )-coordinate.
- Determine the ( x )-intercepts by solving the equation ( -x^2 - 4x = 0 ) for ( x ).
- Plot the vertex, ( x )-intercepts, and any additional points if needed.
- Draw the parabola passing through these points.
This process will help you find the important points to graph the given function.
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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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