What are the asymptote and the y-intercept of the function shown below?
2 answers:
The asymptote and the y-intercept of the function is asymptote: y = 2
y-intercept: (0,8) , Option A is the answer.
<h3>What is an Asymptote ?</h3>Asymptote is a straight line that approaches the curve but does not meet even at infinite distance.
It is given that f(x) = 6 (0.5)ˣ +2
The horizontal asymptote is at y = c
y = 2
From the curve it can be seen that
The intercept of y axis is determined when x = 0
then f(0) = 6 * (0.5)⁰ + 2
f(0) = 8
Therefore the y intercept is at (0,8)
Therefore Option A is the right answer.
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Answer:
A. Increase by 2
Step-by-step explanation:
Given that a fitted multiple regression equation is
This is a multiple regression line with dependent variable y and independent variables x1, x2, x3 and x4
The coefficients of independent variables represent the slope.
In other words the coefficients represent the rate of change of y when xi is changed by 1 unit.
Given that x3 and x4 remain unchanged and x1 increases by 2 and x2 by 2 units
Since slope of x1 is 5, we find for one unit change in x1 we can have 5 units change in y
i.e. for 2 units change in x1, we expect 10 units change in Y
Similarly for 2 units change in x2, we expect -2(4) units change in Y
Put together we have
change in y
Since positive 2, there is an increase by 2
A. Increase by 2