For the function

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

For the function

f(x)=-3\left(\dfrac{1}{4}\right)^{x}

, select the option that correctly lists its

y

-intercept, monotonicity, and limiting behaviour as

x\to\infty

. (a)

y

-intercept

(0,-3)

; graph strictly decreasing; approaches

0

from below as

x\to\infty

(b)

y

-intercept

(0,3)

; graph strictly decreasing; approaches

0

from above as

x\to\infty

(c)

y

-intercept

(0,-3)

; graph strictly increasing; approaches

0

from below as

x\to\infty

(d)

y

-intercept

(0,-3)

; graph strictly increasing; approaches

-\infty

x\to\infty