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How can a quadratic function have both a maximum and a minimum point?
A quadratic function can only have either a maximum or a minimum point, not both. The shape of the graph, which is a parabola, determines this: if the parabola opens upwards (the coefficient of the (x^2) term is positive), it has a minimum point; if it opens downwards (the coefficient is negative), it has a maximum point. Therefore, a quadratic function cannot exhibit both extreme values simultaneously.
What is the minimum value of the function y equals xsquared-6x?
y = -9
How do you determine if the graph of a quadratic function has a min or max from its equation?
If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value
Can a quadratic functions have a maximum and a minimum?
Yes
Is the range of a quadratic formula set as all real numbers?
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.
How can a quadratic function have both a maximum and a minimum point?
A quadratic function can only have either a maximum or a minimum point, not both. The shape of the graph, which is a parabola, determines this: if the parabola opens upwards (the coefficient of the (x^2) term is positive), it has a minimum point; if it opens downwards (the coefficient is negative), it has a maximum point. Therefore, a quadratic function cannot exhibit both extreme values simultaneously.
What is the minimum value of the function y equals xsquared-6x?
y = -9
Write down the minimum value of xsquared - 8x plus 23?
7
How do you determine if the graph of a quadratic function has a min or max from its equation?
If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value
How do you determine wheather a quadratic function has a maximum or minimum and how do you find it?
In theory you can go down the differentiation route but because it is a quadratic, there is a simpler solution. The general form of a quadratic equation is y = ax2 + bx + c If a > 0 then the quadratic has a minimum If a < 0 then the quadratic has a maximum [and if a = 0 it is not a quadratic!] The maximum or minimum is attained when x = -b/2a and you evaluate y = ax2 + bx + c at this value of x to find the maximum or minimum value of the quadratic.
Can a quadratic functions have a maximum and a minimum?
Yes
Is the range of a quadratic formula set as all real numbers?
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.
How do you tell if a quadratic function is minimum value or a maximum vale?
Standard notation for a quadratic function: y= ax2 + bx + c which forms a parabola, a is positive , minimum value (parabola opens upwards on an x-y graph) a is negative, maximum value (parabola opens downward) See related link.
How do you know if a quadratic has a minimum or maximum value?
When the quadratic is written in the form: y = ax2 + bx + c then if a > 0 y has a minimum if a < 0 y has a maximum and if a = 0 y is not a quadratic but y = bx + c, and it is linear. The maximum or minimum is at x = -b/(2a)
What is the vertex of the quadratic function?
It if the max or minimum value.
What is the maximum or minimum of a quadratic equation called?
The vertex.
What is the maximum and minimum value of the correlation coefficient?
The correlation can be anything between +1 (strong positive correlation), passing through zero (no correlation), to -1 (strong negative correlation).
