Question

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

Answer 1

Answer:

f(x) = $2^{(3x)}$

Step-by-step explanation:

The given options are,

a) f(x) = $2^{(3x)}$

b) f(x) = $({\frac {1}{2}})^{3x}$

c) f(x) = $2 \times ({\frac {1}{3}})^{x}$

d) f(x) = $\frac {1}{2} \times ({\frac {1}{3}})^{x}$

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) = $2^{(3x)}$

Answer 2

Answer:

A.  f(x) =  100 · (Three-fifths)

Step-by-step explanation:

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