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The graph of an exponential function f(x) = bx approaches, but does not cross the x-axis. The x-axis is a horizontal asymptote.
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Can a value of X cross a horizontal asymptote of a rational function sometimes?
Yes.
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)
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
How do you find the horizontal asymptote of a trig function?
The only trig functions i can think of with horizontal assymptotes are the inverse trig functions. and they go assymptotic for everytime the non-inverse function is equal to zero.
What is the meaning of asymptote?
An asymptote is the tendency of a function to approach infinity as one of its variable takes certain values. For example, the function y = ex has a horizontal asymptote at y = 0 because when x takes extremely big, negative values, y approaches a fixed value : 0. Asymptotes are related to limits.
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 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
Does every rational function has at least one horizontal asymptote?
Nope not all the rational functions have a horizontal asymptote
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
What does an exponential graph and logistic graph of growth look like?
Yuo cannot include a graphical illustration here. Take a look at the Wikipedia, under "exponential function" and "logistic function". Basically, the exponential function increases faster and faster over time. The logistics function initially increases similarly to an exponential function, but then eventually flattens out, tending toward a horizontal asymptote.
Which best describes the asymptote of an exponential function of the form Fx equals bX?
f(x) = bX is not an exponential function so the question makes no sense.
Can a value of X cross a horizontal asymptote of a rational function sometimes?
Yes.
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)
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
How do you find the horizontal asymptote in a graph of a rational function?
The horizontal asymptote is what happens when x really large. To start with get rid of all the variables except the ones with the biggest exponents. When x is really large, they are the only ones that will matter. If the remaining exponents are the same, then the ratio of those coefficients tell you where the horizontal asymptote is. For example if you have 2x3/3x3, then the ratio is 2/3 and the asymptote is f(x)=2/3 or y=2/3. If the exponent in the denominator is bigger, than y=0 is the horizontal asymptote. If the exponent in the numerator is bigger, than there is no horizontal asymptote.
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
What is the horizontal asymptote of 5 divided by the quantity of x minus 6?
-1
