2006-08-29 02:28:50 · 14 answers · asked by tlynch001 2 in Science & Mathematics ➔ Mathematics
the increase of the increase is lineair.
2006-08-29 02:35:01 · answer #1 · answered by gjmb1960 7 · 0⤊ 0⤋
I think it is decreasing linearly for x<0 and increasing linearly for x>0.
We know this because the slope of the graph is given by:
slope = f'(x) = 2x
So for any x values less than 0, the graph is decreasing and for any x values greater than 0, the graph is increasing.
The function itself is nonlinear, since x is raised to a power other than 1 (linear functions are only linear if the power of x is 1). However, the slope of the function is linear, because the exponent for x in the equation for slope is 1.
Good luck!
=)
2006-08-29 09:36:28 · answer #2 · answered by Jess 2 · 0⤊ 0⤋
Yes, it is increasing nonlinearly, since it is not a line.
However, take not that f(x)=x^2 is increasing only when x>0. When x<0, the curve is decreasing. It is easy to see when you graph it.
2006-08-29 10:30:25 · answer #3 · answered by s_e_e 4 · 0⤊ 0⤋
Yes it is increasing non linearly. The graph is called a parabola.
2006-08-29 09:50:00 · answer #4 · answered by nayanmange 4 · 0⤊ 0⤋
its not always increasing. if x = 1/2 then f(x) is 1/4 which is decreasing.
This is my idea of increasing n decreasing function. May be i am wrong.
2006-08-29 09:35:35 · answer #5 · answered by Anonymous · 0⤊ 0⤋
once u have an x^2function it is none linear it's actually a curvecause i x62 U have 2 X values for the graph and that is impossible for a straight line
2006-08-29 09:37:30 · answer #6 · answered by museikalxpreshun 1 · 0⤊ 0⤋
Yes the line is advancing non linearly...
It is advancing in a log curve depicted by the square of x
2006-09-02 08:43:13 · answer #7 · answered by zahbudar 6 · 0⤊ 0⤋
Yes, it is increasing 'non-linearly' (literally, 'not like a straight line')
It's actually a curve called a 'parabola' âº
Doug
2006-08-29 09:34:48 · answer #8 · answered by doug_donaghue 7 · 0⤊ 0⤋
a linear function has a form like f(x) = a*x + b, where a, b are real numbers.
your function is not linear, as a graph may show you. it is curved, it is a parabolic function (i don't know the English term, as i am not a native English speaker)
2006-08-29 09:34:03 · answer #9 · answered by julie 2 · 0⤊ 0⤋
yes, the 'curve' is increasing non linearly. Remember that it is a curve and not a line in Euclidean geometry.
2006-08-29 09:31:12 · answer #10 · answered by A 4 · 0⤊ 0⤋