Find the interval(s) where the function $f(x)=3^{-x}$ is decreasing.
A) $(0, \infty)$
B) $(-\infty, 0)$
C) $(-\infty, 0) \cup(0, \infty)$
D) $(-\infty, 3) \cup(3, \infty)$
E) $(-\infty, \infty)$

Question

Quizplus · Accepted Answer

The function $f(x)=3^{-x}$ is decreasing for all $x$ because the base $3$ is greater than 1 and the exponent is negative, which results in a decreasing exponential function over the entire real line.

Find the Interval(s) Where the Function f(x)=3−xf(x)=3^{-x}f(x)=3−x Is Decreasing (0,∞)(0, \infty)(0,∞) B) (−∞,0)(-\infty, 0)(−∞,0)

Find the Interval(s) Where the Function $f(x)=3^{-x}$ Is Decreasing $(0, \infty)$ B) $(-\infty, 0)$