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On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases from quadrant 2 into quadrant 1. It crosses the y-axis at (0, 1).
Which function is a shrink of the exponential growth function shown on the graph?

f(x) = 2(3)x
f(x) = One-half(3)x
f(x) = 2(one-third) Superscript x
f(x) = One-half (one-third) Superscript x

Respuesta :

Answer:

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

Step-by-step explanation:

The given options are,

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

b) f(x) = [tex]({\frac {1}{2}})^{3x}[/tex]

c) f(x) = [tex]2 \times ({\frac {1}{3}})^{x}[/tex]

d) f(x) = [tex]\frac {1}{2} \times ({\frac {1}{3}})^{x}[/tex]

Now, among the given options only option (a) satisfies the criteria stated in the question i. e.,

     1. f(x) → 0 as x → - ∞  and

     2 f(0) = 1

so, the correct answer is,

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

Answer:

its B

Step-by-step explanation:

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