Any graph should be titled and have maximum and minimum values listed on it. The minimum values are usually on the bottom left and the maximum values are on the top right and bottom right of the graph.
Apex.
When you look at the parabola if it opens downwards then the parabola has a maximum value (because it is the highest point on the graph) if it opens upward then the parabola has a minimum value (because it's the lowest possible point on the graph)
Both the function "cos x" and the function "sin x" have a maximum value of 1, and a minimum value of -1.
It is a graph in three dimensions, relative to the x-, y- and z-axes.
the maximum, turning point, peak ?
No, since the equation could be y = x3 (or something similar) which will have a point of inflection at (0,0), meaning there is no relative maximum/minimum, as the graph doesn't double back on itself For those that are unfamiliar with a point of inflection <http://mathsfirst.massey.ac.nz/Calculus/SignsOfDer/images/Introduction/POIinc.png>
A relative maximum of a graph refers to a point where the function's value is higher than the values of nearby points, indicating a local peak within a specific interval. In contrast, an absolute maximum is the highest value of the function over its entire domain, meaning no other point on the graph has a greater value. Essentially, all absolute maxima are relative maxima, but not all relative maxima are absolute maxima.
Apex.
The maximum number of relative extrema in the graph of a function is determined by the number of critical points, which occur where the first derivative is zero or undefined. For a polynomial function of degree ( n ), there can be up to ( n - 1 ) relative extrema. Therefore, if you know the degree of the function, you can use this information to determine the maximum number of relative extrema it can have.
When you look at the parabola if it opens downwards then the parabola has a maximum value (because it is the highest point on the graph) if it opens upward then the parabola has a minimum value (because it's the lowest possible point on the graph)
It has an absolute minimum at the point (2,3). It has no maximum but the ends of the graph both approach infinity.
The relative humidity graph shows the amount of moisture in the air compared to the maximum amount it can hold at a given temperature. It indicates how close the air is to being saturated with water vapor.
vertex
Both the function "cos x" and the function "sin x" have a maximum value of 1, and a minimum value of -1.
To find the maximum number of relative extrema of the function ( f(x) = x^3 + x ), we first compute its derivative: ( f'(x) = 3x^2 + 1 ). Since ( f'(x) ) is always positive (as ( 3x^2 + 1 > 0 ) for all ( x )), the function is strictly increasing and does not have any relative extrema. Therefore, the maximum number of relative extrema contained in the graph of this function is zero.
Assuming the standard x and y axes, the range is the maximum value of y minus minimum value of y; and the domain is the maximum value of x minus minimum value of x.
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.