How do I find out if x-1 is a function
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3
and does x-1 1 1
--- =y = - - - =y
3 3x 3
oh sorry, it came all weird when i typed it out
can you just answer me this?
how do i find out if (x-1)/3 is a function?
oh, and sorry, the name's wrong because I used my sister's account
No problem! I can help you with that. To determine if the expression (x-1)/3 is a function, you need to check if it passes the vertical line test.
1. Start by understanding what the expression represents. In this case, (x-1)/3 represents a mathematical relationship between the variable x and the variable y.
2. To perform the vertical line test, imagine drawing vertical lines through the graph of the expression. If each vertical line intersects the graph at only one point, then the expression is a function.
3. Graph the expression on a coordinate plane. If you are not sure how to graph it, you can substitute different values of x and solve for y. For example, when x=0, y= (-1)/3 = -1/3. When x=3, y= (3-1)/3 = 2/3. Plot these points and connect them with a straight line.
4. Now, imagine drawing vertical lines through the graph. If these lines intersect the graph at more than one point, then the expression is not a function. However, if each vertical line intersects the graph at only one point, then the expression is a function.
In this case, the graph of (x-1)/3 should be a straight line with a slope of 1/3 and a y-intercept of -1/3. If vertical lines intersect the graph at only one point for any value of x, then (x-1)/3 is a function.