A straight line, defined on an unrestricted domain, has no extrema. If m>0 then, as x goes from - infinity to + infinity, then so does y, while if m<0 then, as x goes from - infinity to + infinity, y goes from + infinity to - infinity. There are NO turning points. In the degenerate case that m = 0, then y = c for all values of x and that could be considered an extremum.
checking if it is an energy signal E= integration from 0 to infinity of t gives infinity so it is not an energy signal P=limit ( t tending to infinity)*(1/t)*(integration from 0 to t/2 of t) gives us infinity so it is not an energy or a power signal
The domain of y = x2 is [0,+infinity]
Assuming the equation as: y3x-2 =0 Then: 3xy = 2 or y = 2/3x for x = 0, y = infinity for x = 1, y = 2/3 for x = 10, y = 2/30 for x = infinity, y = 0
The domain of y = 2x is [0, +infinity].
Yes, but x would be a function of y, not the other (usual) way round. The domain of the function would be y in (-infinity, +infinity) and the range x in [0, +infinity).
The domain of y = x0.5 is [0,+Infinity]. There are no X and Y intercepts for this function.Not asked, but answered for completeness sake, the range is also [0,+Infinity]. That is why there are no intercepts.Taken one step further, if you include the domain [-Infinity,0) in your analysis, you must include the imaginary range (i0,iInfinity] in your result set.
The general form is y(t) = a + y(0)*exp(-bt)where y(t) is value of the variable at time t. the starting value is a + y(0) and the asymptotic value (as t -> infinity) is a.
y=-x^2 +7 The range is the possible values of y for all acceptable values of x. In this case x can be anything, so at its smallest value of 0, y=7, and at its largest value of infinity, y=negative infinity, so the range is negative infinity to 7.
x=y^2 may be written as y=+/-sqrt(x) The domain for sqrt(x) is [0, infinity). The range is also [0, infinity) However, y=+/-sqrt(x) is not a function, because one element in the domain has two values in the range set.
If you mean y =9x^2 -4 , than the range is the possible y values. Range = 0<= y < infinity.
Positive: (0, infinity)Nonnegative: [0, infinity)Negative: (-infinity, 0)Nonpositive (-infinity, 0]