Replace the f(x) with y and proceed to make x the subject:
y=1/3x+5
y-5=1/3x
We need to ÷1/3 on both sides, so ×3 on both sides
3(y-5)=x
3y-15=x
Now swap y with x and replace the isolated x with f(x) so the inverse function is:
The next set is the parametric equations of the same line .
x = t, y = 5 and z = -t .
What is the meaning of parametric and non parametric?
- The assumptions behind parametric statistics relate to the population's distribution from which the sample was drawn.
- Since no presumptions are made while using nonparametric statistics, data can be gathered from samples that do not fit any particular distribution.
x + y + z = 5, x + z = 0
the line satisfies
x + z = 0 , y = 5
thus
x = t, y = 5 and z = -t .
the first one is technically already the symmetric equations of the line.
thus:
x = -z ; y = 5
the next set is the parametric equations of the same line .
x = t, y = 5 and z = -t .
Learn more about parametric equations
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You can use y = {-1, x ≤ 0 and y = {x - 1, x > 0 as two functions for your piecewise function. The first function will be a horizontal line. The second function will be a straight line with a slope of 1 and y-intecept of -1. Messaged you the graph.
The answer is B. strong negative
Do you see how the dots in the graph are close enough together so that you are able to see a line going downward? That’s how you know the association in this graph is negative.
If the y values decrease as the x values increase, you know that the line/association of points is negative.
If the y values increase as the x values increase, you know that the line/association of points is positive.
When the points are scattered all over the graph and you can’t see any kind of line or pattern, there is no association.
Hope this helped! If you have any questions about what I mentioned here, feel free to comment!
