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Which best describes the asymptote of an exponential function of the form Fx equals bX?
Wiki User
∙ 8y ago
f(x) = bX is not an exponential function so the question makes no sense.
Wiki User
∙ 8y ago
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When is the horizontal asymptote y equals 0?
The horizontal asymptote for y = 0 when the degree is greater than the denominator, resulting in the inability to do long division.
Is y equals 2 to the x power a linear equation?
If you mean y = 2^x, then no, it is not a linear equation. This is an exponential equation. The graph of this exponential equation would start out near zero on the left-hand side (there is a horizontal asymptote at y = 0) and would gradually increase as you move to the right: overall, it has a curved shaped. If you mean y = 2x, then yes, it is a linear equation.
How do I determine the domain and the equation of the vertical asymptote with the equation f of x equals In parentheses x plus 2 end of parentheses minus 1?
The domain of the function f(x) = (x + 2)^-1 is whatever you choose it to be, except that the point x = -2 must be excluded. If the domain comes up to, or straddles the point x = -2 then that is the equation of the vertical asymptote. However, if you choose to define the domain as x > 0 (in R), then there is no vertical asymptote.
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.
Determine the equation of any vertical asymptote and the value of x for any hole in the graph of the rational function fx x-2 over xsquared-x-2?
Asymptote's occur when your equation has a denominator of zero Holes may occur when your equation has both a numerator and denominator of zero So... The equation for the denominator equals zero is: x2-x-2 = 0 The equation for both the numerator and denominator equals zero is x - 2 = x2-x-2 = 0 For interests sake... lets solve it. ---- x2-x-2 = 0 (x+1)(x-2) = 0 x = -1, 2 x - 2 = x2-x-2 = 0 x - 2 = 0 x = 2 A vertical asymptote occurs at x = -1 A vertical asymptote or hole may appear at x = 2
For all values of a and b that make Fx equals a bx a valid exponential function the graph always has a horizontal asymptote at y equals 0?
True
A feature that is common to all exponential functions of the form Fx equals bx is that they have a common horizontal asymptote at the -axis?
asymptote
What is the domain range asymptote and intercept of the equation y equals 4 times 2 exponent x?
y = 4(2x) is an exponential function. Domain: (-∞, ∞) Range: (0, ∞) Horizontal asymptote: x-axis or y = 0 The graph cuts the y-axis at (0, 4)
True or False if a rational function Rx has exactly one vertical asymptote then the function 3Rx should have the exact same asymptote?
It will have the same asymptote. One can derive a vertical asymptote from the denominator of a function. There is an asymptote at a value of x where the denominator equals 0. Therefore the 3 would go in the numerator when distributed and would have no effect as to where the vertical asymptote lies. So that would be true.
Which function has the following a vertical asymptote at x equals -4 horizontal asymptote at y equals 0 and a removable discontinuity at x equals 1?
2x-2/x^2+3x-4
A feature that is common to all exponential functions of the form Fx equals bx is that they have a common horizontal asymptote at the axis?
x-axis
Is y equals x4 an exponetial function?
If the question is, Is y = x4 an exponential function ? then the answer is no.An exponential function is one where the variable appears as an exponent.So, y = 4x is an exponential function.
A feature that is common to all exponential functions of the form F of x equals bx is that they have a common horizontal asymptote at the negative axis?
x axis
Does the rule y equals 4x4x represent a linear or exponential function explain?
yes
How do you find the horizontal asymptote of a logarithmic function where x equals 7.5 and y equals 50?
One point on a logarithmic graph is not sufficient to determine its parameters. It is, therefore, impossible to answer the question.
Does 5 equals log 5 to the x have an asymptote?
no
What is this type of function called y equals mx to the power of -b?
Assuming that b > 0, it is an inverse power function or an inverse exponential function.
