contestada

Which function has a horizontal asymptote equal to 2?

f(x) = 4 ⋅3^ x + 2
f(x) = 3 ⋅2^ x + 4
f(x) = 2 ⋅5^ x + 3
f(x) = 5^2x + 1

Respuesta :

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ANSWER

[tex]f(x) = 4( {3}^{x} ) + 2[/tex]

EXPLANATION

The exponential function in the form

[tex]f(x) = a( {b}^{x} ) + c[/tex]

has a horizontal asymptote of

[tex]y = c[/tex]

The given exponential function is:

[tex]f(x) = 4( {3}^{x} ) + 2[/tex]

The horizontal asymptote is therefore

[tex]y = 2[/tex]

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