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No, the range of a quadratic function is not all real numbers. A quadratic function, typically in the form ( f(x) = ax^2 + bx + c ), has a parabolic shape. If the coefficient ( a ) is positive, the range is all real numbers greater than or equal to the minimum point (the vertex), while if ( a ) is negative, the range is all real numbers less than or equal to the maximum point. Thus, the range is limited to values above or below a certain point, depending on the direction of the parabola.
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What is the domain and range of a quadratic function?
The domain and range can be the whole of the real numbers, or some subsets of these sets.
How many real solutions can the quadratic formula give?
A quadratic equation can have either two real solutions or no real solutions.
What happens in the quadratic formula that yields no real solutions?
If the discriminant of b2-4ac in the quadratic equation formula is less than zero then the equation will have no real roots.
What is the use of quadratic formula if it is not used into real life?
The question is based on the false assumption that the quadratic formula is not used in daily life. Wrong, it IS!
What are some real life situations that would use the quadratic formula?
As you probably suspect, there are no non-mathematical situations in which you would use the quadratic formula.
