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How can a quadratic function have both a maximum and a minimum point?
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What is the minimum or maximum point called in a quadratic equation?
They are simply referred to as local minimums and maximums. Experience: Algebra 2 Advanced
How to compute the minimum and maximum function values of a quadratic function?
Suppose you have a quadratic function of the form y = ax2 + bx + c where a, b and c are real numbers and a is non-zero. [If a = 0 it is not a quadratic!] The turning point for this function may be obtained by differentiating the equation with respect to x, or by completing the squares. However you get there, the turning point is the solution to 2ax + b = 0 or x = -b/2a Now, if a > 0 then the quadratic has a minimum at x = -b/2a and it has no maximum because y tends to +∞ as x tends to ±∞ . if a < 0 then the quadratic has a maximum at x = -b/2a and it has no minimum because y tends to -∞ as x tends to ±∞. You evaluate the value of y at this point. y = a(-b/2a)2 + b(-b/2a) + c = b2/4a - b2/2a + c = -b2/4a + c = -(b2 - 4ac)/4a In either case, if the domain of the function is bounded on both sides, then the missing extremum will be at one or the other bound - whichever is further away from (-b/2a).
What is meant by the maximum and minimum values of qadratic equation?
A quadratic can be drawn as a graph and it is either "U" shaped or "n" shaped. If it were "U" shaped, the minimum value qould be the lowest point of the "U". If "n" shaped, maximum would be the top.
If the graph of quadratic function x has a minimum point and intersects the axis of x at 4 and m If the axis of symmetry of the graph is x equal to 5 state the value m and hence state the function x?
...i need the answer to that too...
What is the definition of the Minimum of a function in Alegbra?
A global minimum is a point where the function has its lowest value - nowhere else does the function have a lower value. A local minimum is a point where the function has its lowest value for a certain surrounding - no nearby points have a lower value.
How can a quadratic function have both a maximum and minimum point?
It can't - unless you analyze the function restricted to a certain interval.
What name is given to the turning point also known as the maximum or minimum of the graph of a quadratic function?
vertex
What is another name for the maximum or minimum point of a quadratic graph?
Apex.
How do you find the minimum or maximum of a function?
By taking the derivative of the function. At the maximum or minimum of a function, the derivative is zero, or doesn't exist. And end-point of the domain where the function is defined may also be a maximum or minimum.
What is the minimum or maximum point called in a quadratic equation?
They are simply referred to as local minimums and maximums. Experience: Algebra 2 Advanced
How to compute the minimum and maximum function values of a quadratic function?
Suppose you have a quadratic function of the form y = ax2 + bx + c where a, b and c are real numbers and a is non-zero. [If a = 0 it is not a quadratic!] The turning point for this function may be obtained by differentiating the equation with respect to x, or by completing the squares. However you get there, the turning point is the solution to 2ax + b = 0 or x = -b/2a Now, if a > 0 then the quadratic has a minimum at x = -b/2a and it has no maximum because y tends to +∞ as x tends to ±∞ . if a < 0 then the quadratic has a maximum at x = -b/2a and it has no minimum because y tends to -∞ as x tends to ±∞. You evaluate the value of y at this point. y = a(-b/2a)2 + b(-b/2a) + c = b2/4a - b2/2a + c = -b2/4a + c = -(b2 - 4ac)/4a In either case, if the domain of the function is bounded on both sides, then the missing extremum will be at one or the other bound - whichever is further away from (-b/2a).
What is meant by the maximum and minimum values of qadratic equation?
A quadratic can be drawn as a graph and it is either "U" shaped or "n" shaped. If it were "U" shaped, the minimum value qould be the lowest point of the "U". If "n" shaped, maximum would be the top.
What is the extreme point called on a parabola?
The vertex, or maximum, or minimum.
What is the maximum or minimum point called?
A maximum or minimum is generally referred to as an extrema.
Is the graph of a quadratic function contains the point 0 0?
Some do and some don't. It's possible but not necessary.
What is the turning point in the graph of a quadratic function?
The answer depends on the form in which the quadratic function is given. If it is y = ax2 + bx + c then the x-coordinate of the turning point is -b/(2a)
What is the critical point called?
The critical point is called the point at which a function's derivative is zero or undefined. At this point, the function may have a local maximum, minimum, or an inflection point.
