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Which of the following exponential functions has a horizontal asymptote at y = –3?

f (x) = –3^x + 3
f (x) = –3^x – 3
f (x) = 3(–x + 3)
f (x) = 3(–x – 3)

Sagot :

Happilidn

Answer:

[tex]f(x) = -3^x -3[/tex]

The exponential functions has a horizontal asymptote at y = –3 will be f (x) = –3^x – 3. The second option is correct.

What are exponential functions?

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function.

There usual form is specified below. They are written in several such equivalent forms.

We get horizontal asymptote for a function;

The line  y = a is horizontal asymptote if the function f(x) tends to 'a' from upside of that line y = a, or from downside of that line.

Note that the x-axis (y=0) is the horizontal asymptote.

Since question asked for a function with horizontal asymptote of y = -3,

we can shift the function 3 units above by changing Q to +3.

The exponential functions has a horizontal asymptote at y = –3 will be f (x) = –3^x – 3.

The second option has an equation of an exponential that has Q value of - 3.

Learn more about horizontal asymptotes here:

https://brainly.com/question/2513623

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