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Could the answer be: slope m=0 or slope m = all rational number or slope is undefined?

2006-07-03 03:28:30 · 4 answers · asked by Anonymous in Education & Reference Homework Help

4 answers

If the slope is m = real number (which includes 0), then the linear relation is a function. (You do not need to limit the slope to rational numbers. All real numbers work.)
The only type of linear relation that is not a function is the vertical line. Thus, if the slope is undefined, then it is not a function.
If the slope is not undefined, then it is a function.
Note: A function with a slope of 0 is a horizontal line, and therefore, it will pass the vertical line test. A function that has an undefined slope is a vertical line, and hence, it will not pass the vertical line test.

2006-07-03 10:16:07 · answer #1 · answered by MsMath 7 · 1 0

Linear functions are functions when they have x as the input variable, and x is raised only to the first power.

This linear function:

f(x) = mx + b

May be graphed on the x, y plane as this equation:

y = mx + b

This equation is called the slope-intercept form for a line.
The graph of this equation is a straight line.
The slope of the line is m.
The line crosses the y-axis at b.
The point where the line crosses the y-axis is called the y-intercept.
The x, y coordinates for the y-intercept are (0, b).

2006-07-03 10:35:39 · answer #2 · answered by Anonymous · 0 0

A function with a slope of 0 would be represented by a vertical line....therefore cannot be a function. It would not pass the Vertical line Test.

2006-07-03 10:33:30 · answer #3 · answered by CHAZ2006 3 · 0 0

Linear functions are functions when domain has only one possible pair in the range. That's it.
In terms of slope it will be :
m=all rational number except zero

2006-07-03 10:47:02 · answer #4 · answered by Taimoor 4 · 0 0

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