SOLUTION: A graph has the following key features:
Decreasing for x > 0
y-intercept of 1
No x-intercept
A horizontal asymptote of y = 0
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-> SOLUTION: A graph has the following key features:
Decreasing for x > 0
y-intercept of 1
No x-intercept
A horizontal asymptote of y = 0
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Question 191149: A graph has the following key features:
Decreasing for x > 0
y-intercept of 1
No x-intercept
A horizontal asymptote of y = 0
Domain: {x|xER}
Range:{y|y > 0, yER}
(1, 0.5) is a point of the graph
A possible function with all these key features is ______________________.
A function that is decreasing on x > 0, y-intercept of 1, no x-intercept, and asymptotic to the x-axis (i.e. y = 0),
domain , range is:
where is any real number > 0, in other words a reflection of the general exponential function about the y-axis.
But you are looking for such that and that number would be 2.
The only thing that bothers me about this is the statement that f(x) is decreasing on the interval x > 0. In fact, the function is decreasing across its entire domain. That doesn't make this wrong, because the parameters of the problem don't specify what the function has to be doing on x <= 0. But it makes me wonder what the question writer was thinking. For that matter, why did the writer specify no x-intercepts when the range is restricted to values greater than zero?
