A graph in which the curve of an appropriate function crosses the x-axis only once. The curve could be of any shape.
to graph not only positive numbers, but negative ones as well
You only connects dots an a graph when the variable is in constant movement never stopping.
Answer: yes in mathematical world every solution have its graphical representation and its common sense that two points on a graph form only one line.......so two points are always colloinear.....!
Absolute Value function
when the variable is to the power one you will only have one answer....2 solutions when to the power 23 when cubed etc.note: when multiple answers it is possible for answers to repeat ex. x^2+4x+4 =0would factor to (x+2)(x+2)=0 so x=-2 and x=-2 there is only one answer but it repeats. [Note: the graph of this parabola will 'just touch' the x-axis at x = -2]Also, it may seem that there is only one solution, for example x³ - 5x² + 8x - 6 = 0 looks like it only has one solution at x = 3 (as the graph of it will only cross the x-axis once at x = 3), but there are two more solutions which require the use of complex numbers, in this case namely x = 1 + i, and x = 1 - i (where i = √-1).
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A graph represents a function if and only if every input generates a single output.
There is no graph because there is no equation - only an expression.
A test case represents the compilation of the test scenario, test script and expected results. Whereas the test script only represents the description of the input used to validate the assertion captured in the test requirement.
the main difference between the A*(A star) and AO*(AO star) algorithms is that A* algo is a OR graph algorithm and AO* is a AND-OR graph algorithm. In OR graph algorithm it just find only one solution (i.e either OR solution means this OR this OR this). But in the AND-OR graph algo it find more than one solution by ANDing two or more branches. for more details on AND-OR graph & OR graph please refer the book "Artificial Intelligence" by Elaine Rich & Kevin Knight.
You use the vertical line test. If you can draw a vertical line though the graph and it intersects it only once, it is a function. If the line crosses the graphs more than once it is not.
It is a relationship of direct proportion if and only if the graph is a straight line which passes through the origin. It is an inverse proportional relationship if the graph is a rectangular hyperbola. A typical example of an inverse proportions is the relationship between speed and the time taken for a journey.
If for every point on the horizontal axis, the graph has one and only one point corresponding to the vertical axis; then it represents a function. Functions can not have discontinuities along the horizontal axis. Functions must return unambiguous deterministic results.
The vertical line test! Imagine a vertical line going through all points of the graph. As long as the vertical line only touches the graphed line once, it's a function. If it touches more than once, it is not.
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
No it is not if you have a single inequality. It you had a single point as the solution, then it effect you would have an equality. If you have x> or equal to 1 and x< or equal to 1 then the graph is the single point 1. So it is possible with systems of inequalities.
One solution means there is only one value or set of values for the variable(s) that satisfies the equation or system of equations. It is the point at which the graph of the equation intersects the x-axis, solving for the variable(s) in the equation.