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:
x = 43.7°
Step-by-step explanation:
Reference angle (θ) = x°
Opposite side length = 43
Adjacent side length = 45
Apply the trigonometric function, TOA, which is:
Tan θ = Opp/Adj
Substitute
x = 43.7° (nearesth tenth)