An exponential function f(x) is reflected across the x-axis to create the function g(x). Which is a true statement regarding f(x
) and g(x)? A. The the functions have the same initial value. B. The two functions will cross each other on the axis. C. The two functions have reciprocal output values of each other for any given output value. D. The two functions have opposite output values of each other for any given input value.
2 answers:
Answer:
<h2>D. The two functions have opposite output values of each other for any given input value.</h2>Step-by-step explanation:
The reflect function will have opposite output values than the original one, because reflection across the x-axis means that y-values will be with the opposite sign. All positive y-values in the original function will have negative values in the reflected one, and all negative y-values in the original will have positive values in the reflected.
The opposite values are just seen in the output, because those belong to y-axis, all x-axis values remain the same, which are input values. You can see this in the image attached, look for the horizontal reflection. That mirror effect across the x-axis is because the y-values are opposite.
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Answer:
C. $8483
Step-by-step explanation:
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Answer:
the variance of the refund payment to the couple = 9463.394
Step-by-step explanation:
Given that :
A couple book a cruise to Alaska that promises to refund 100 per day of rain on the seven day cruise up to a maximum of 300.
It is possible that the couple won't be able to refund up 100 per day or more than 100 per day.
SO; let assume that the refund payment happens to be 0, 100,200, 300
Let X be the total refund payment on the seven day cruise.
We can say X = 0, if there is no rain on all 7 days.
If it rains on any one day; then X = 100
if it rains on any two day ; then X = 200
if it rains on any three day or more than that ; then X = 300
Now; we have our probability distribution function as:
P(X = 0) = 0.2097152
P(X = 100) = 0.3670016
P(X = 200) = 0.2752512
P(X = 300) = 0.148032
In order to determine the variance of the refund payment to the couple; we use the formula:
variance of the refund payment to the couple
where;
NOW;
the variance of the refund payment to the couple = 28002.944 - 18539.55
the variance of the refund payment to the couple = 9463.394