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#neutrino
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if we draw a line parallel to the x- axis and passes through a point in the image and the graph intersects at one point is this a one to one function ?
If this is true for all lines parallel to the x-axis, yes.#neutrino said:if we draw a line parallel to the x- axis and passes through a point in the image and the graph intersects at one point is this a one to one function ?
All lines parallel to the x- axis.#neutrino said:what do you exactly mean by all lines ?
No, a line parallel to the x-axis corresponds to a value of y.#neutrino said:but then for each line parallel to the x-axis for each input the output will be the same so how come it is one to one ?
A 1-1 function, also known as a one-to-one function, is a type of mathematical function where each element in the domain is mapped to a unique element in the range. In other words, each input has only one corresponding output.
A line will intersect at one point if it has a slope (or rate of change) that is different from the slope of any other lines it intersects. In other words, if two lines have different slopes, they will intersect at exactly one point.
Yes, there is a difference. A line intersecting at one point refers to the physical intersection of two lines, while a 1-1 function refers to the mathematical relationship between the input and output values of a function. A line intersecting at one point does not necessarily mean it is a 1-1 function, as it could intersect with multiple points on another line.
No, a line cannot intersect at more than one point and still be a 1-1 function. By definition, a 1-1 function must have a unique output for every input, so if a line intersects at multiple points, it would violate this rule.
To prove that a line intersecting at one point is a 1-1 function, you would need to show that each input has a unique output. This can be done by using the slope-intercept form of a line (y = mx + b) and substituting in different values for x. If each x-value produces a different y-value, then the line is a 1-1 function.