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What is the horizontal asymptote of y equals 2 to the power of x?
It is y = 0
What is the derivative of e to the power of -2 times x?
e^(-2x) * -2 The derivative of e^F(x) is e^F(x) times the derivative of F(x)
What is the domain range and asymptote of gx equals 2 to the power of x minus 3?
The domain is (-infinity, infinity) The range is (-3, infinity) and the asymptote is y = -3
What is an integral of ex logx?
if you mean e to the x power times log of x, it is e to the x divided by x
Does y equals log5x have an asymptote?
Yes, the asymptote is x = 0. In order for logarithmic equation to have an asymptote, the value inside log must be 0. Then, 5x = 0 → x = 0.
Does every rational function have a vertical asymptote?
Answer: no [but open to debate] ((x-1)(x-2)(x+2))/(x-3) (x^2-3x+2)/(x-2)(x+2) Asymptote missing, graph it, there is no Asymptote because the (x-2)(x+2) can be factored out. yes
The horizontal asymptote for exponential function is?
The graph of an exponential function f(x) = bx approaches, but does not cross the x-axis. The x-axis is a horizontal asymptote.
What is the horizontal asymptote of 5 divided by the quantity of x minus 6?
-1
Integral of e to the power of -x?
integral of e to the power -x is -e to the power -x
What best describes the asymptote of an exponential function of the form F(x)b x?
what symbol best describes the asymptote of an exponential function of the form F(x)=bx
What is the horizontal asymptote of y equals x divided by x2 plus 2x plus 1?
y = x / (x^2 + 2x + 1) The horizontal asymptote is y = 0
Do logarithmic functions have vertical asymptotes?
Yes. Take the functions f(x) = log(x) or g(x) = ln(x) In both cases, there is a vertical asymptote where x = 0. Because a number cannot be taken to any power so that it equals zero, and can only come closer and closer to zero without actually reaching it, there is an asymptote where it would equal zero. Note that transformations (especially shifting the function left and right) can change the properties of this asymptote.
