manipulated variable
Draw a graph of a given curve in the xoy plane. Now draw a vertical line so that it cuts the graph. If the vertical line cuts the graph in more than one ordinate then given graph is not a function. If it cuts the graph at a single ordinate such a graph is a function.(is called vertical line test)
A sliding test. The vertical line can meet the graph at at most one point.
If the graph is a function, no line perpendicular to the X-axis can intersect the graph at more than one point.
take a vertical line, if another line intersects that vertical line at 2 points, then it is a function.In other words,a graph represents a function if each vertical line meets its graph in a unique point.
3
A given point of x and y
manipulated variable
The gradient (slope) of the tangent to the graph at the given time - provided that it exists. If the graph is a straight line at that point, it is the gradient of that line.
Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.
line graph
line graph
line graph :))))))))))))))
A point represents an infinitesimally small area in space. In the case of a line graph, and assuming the point is on the line, it represents the exact value of the linear function of x, f(x) or y, at any given value of x. The important thing to remember is that when you actually draw a dot on a graph representing a point, you're really representing an object with no dimensions.
there is a line and ploting point
To find the y-intercept from a graph - look at where the graph of the line intersects the y-axis. The point at where the graph of the line crosses the y-axis will be the y-intercept with the coordinates of (0,y) The point at which the line cuts the y – axis is called as y – intercept.You can locate the point by seeing the graph.Note:If you are given a linear equation say ax + by + c = 0Now if we plug x = 0 in the given equation we will get the y – intercept.y = -c/bIf the given equation is of the form y = mx + bb is the y – intercept of the line. Source: www.icoachmath.com
Mark the position of the point on the graph according to the coordinates of the point that are given (or calculated).
Yes, I'm confident of that.