For the function g(x)=3-8(1/4)^2-x a) State the y-intercept
b) State the equation of the horizontal asymptote
c) State whether the function is increasing or decreasing.
d) State the domain and range

Could anyone help?

Using function concepts, it is found that:

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The given function is:

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Question a:

The y-intercept is g(0), thus:

The y-intercept is y = 2.5.

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Question b:

The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.

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Thus, the horizontal asymptote is x = 3.

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Question c:

The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.

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Question d:

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The sketching of the graph is given appended at the end of this answer.

A similar problem is given at

the monthly balance will be $75,000

answer for #1 is c

answer for #2 is d

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