How do you graph the function #y=-1/2x^2-2x# and identify the domain and range?
Draw an upside parabola that goes through the origin and the point
Furthermore, if we allow
graph{-11.91, 8.09, -5.2, 4.8]}
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To graph the function ( y = -\frac{1}{2}x^2 - 2x ), follow these steps:
- Plot key points:
- Choose x-values and calculate corresponding y-values.
- Use a table of values or algebraic methods to find points.
- Draw the graph:
- Plot the points on the coordinate plane.
- Use smooth curves to connect the points.
To identify the domain and range:
- Domain: All real numbers (-∞, ∞)
- Range: ( (-\infty, -\frac{9}{2}] )
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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.
- How do you find the zeros, real and imaginary, of #y=x^2-3x+298# using the quadratic formula?
- What is the the vertex of #y = (x -3)^2+4x-5 #?
- How many points does #y=-2x^2+x-3# have in common with the vertex and where is the vertex in relation to the x axis?
- How do you write the quadratic in vertex form given #y=x^2-5#?
- What is the vertex of # y= 4(x+2)^2-2x^2-4x+3#?

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