what are the characteristics of graph of a function?
310480
Some of the most characteristics of a function are its Relative Extreme Values. Points on the functions graph corresponding to relative extreme values are turning points, or points where the function changes from decreasing to increasing or vice versa.
461120
In general, if a function f has a zero of odd multiplicity, the graph of y = f ( x ) y=f(x) y=f(x)y, equals, f, left parenthesis, x, right parenthesis will cross the x-axis at that x value.
765127
Vertical Line test: If any vertical line intersects a graph at exactly one point then the graph represents a function otherwise not. Looking into the graphs, the vertical line intersects the graph D at only one point. Hence, graph D represents a function.
1446068
['(a) Objective function:', '(b) Constraints:', '(c) Non-negativity:', '(d) Linearity:', '(e) Finiteness:']
641097
To graph a rational function, you find the asymptotes and the intercepts, plot a few points, and then sketch in the graph. Once you get the swing of things, rational functions are actually fairly simple to graph.
1452426
Different Types of Graphs The eight types are linear, power, quadratic, polynomial, rational, exponential, logarithmic, and sinusoidal.
3210
So if you're asked to graph a function and its inverse, all you have to do is graph the function and then switch all x and y values in each point to graph the inverse. Just look at all those values switching places from the f(x) function to its inverse g(x) (and back again), reflected over the line y = x.
449328
The inverse for a function of x is just the same function flipped over the diagonal line x=y (where y=f(x)). So, if you graph a function, and it looks like it mirrors itself across the x=y line, that function is an inverse of itself.
985626
['horizontal bar graphs,', 'vertical bar graphs and.', 'line graphs.']
793600
The vertex of the graph is (h,k). The domain of the graph is set of all real numbers and the range is y≥k when a>0. The domain of the graph is set of all real numbers and the range is y≤k when a<0. The axis of symmetry is x=h. It opens up if a>0 and opens down if a<0.
155436
The function f(x)=x2 is not one-to-one because f(2) = f(-2). Its graph is a parabola, and many horizontal lines cut the parabola twice. The function f(x)=x 3, on the other hand, IS one-to-one. If two real numbers have the same cube, they are equal.
972315
The vertex of the graph is (h,k). The domain of the graph is set of all real numbers and the range is y≥k when a>0. The domain of the graph is set of all real numbers and the range is y≤k when a<0. The axis of symmetry is x=h.
375268
Graphing the Absolute Value Function f (x) = | x| The graph looks like a "V", with its vertex at (0, 0). Its slope is m = 1 on the right side of the vertex, and m = - 1 on the left side of the vertex. We can translate, stretch, shrink, and reflect the graph.
1352857
['They are periodic functions with a period of.', 'The domain of each function is and the range is.', 'The graph of is symmetric about the origin, because it is an odd function.', 'The graph of is symmetric about the axis, because it is an even function.']
287562
GRAPHS OF INVERSE FUNCTIONS: Inverse functions have graphs that are reflections over the line y = x and thus have reversed ordered pairs. ... Draw the line y = x and look for symmetry. a. If no symmetry is apparent, the functions are not inverse functions.
1213163
So, if the graph is a straight line, it is the graph of a linear function. From a table, you can verify a linear function by examining the x and y values. The rate of change for y with respect to x remains constant for a linear function. This rate of change is called the slope.
370880
In discrete mathematics, a graph is a collection of points, called vertices, and lines between those points, called edges. There are many different types of graphs, such as connected and disconnected graphs, bipartite graphs, weighted graphs, directed and undirected graphs, and simple graphs.