Question

What are the asymptote and the y-intercept of the function shown below?

f(x) = 6(0.5)x + 2

A curve declines through (negative 0 point 5, 10), (0, 8), (1, 5), (3, 2 point 9), (4, 2 point 3) and extends linearly through (6, 2), (7, 2), (8, 2) and (9, 2) on the x y coordinate plane.
A.
asymptote: y = 2
y-intercept: (0,8)
B.
asymptote: y = 1
y-intercept: (0,5)
C.
asymptote: y = 2
y-intercept: (0,5)
D.
asymptote: y = -2
y-intercept: (0,8)

Answer 1

The asymptote and the y-intercept of the function is asymptote: y = 2

y-intercept: (0,8) , Option A is the answer.

What is an Asymptote ?

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.

To know more about Asymptote

https://brainly.com/question/4084552

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Answer 2

Answer:

C

Step-by-step explanation:

thats what i got