Question

a function is shown.
$y = 12(2.73)^x$
use an inequality to state the range of the function.
enter your answer in the box.

Explanation:

Step1: Analyze the exponential term

For any real number $x$, $2.73^x > 0$, since exponential functions with positive bases are always positive.

Step2: Scale by the coefficient

Multiply all parts of the inequality by 12:
$12 \times 2.73^x > 12 \times 0$
$\implies y > 0$

Step3: Confirm the range

As $x$ approaches $-\infty$, $2.73^x$ approaches 0, so $y$ approaches 0 but never reaches it. As $x$ approaches $+\infty$, $y$ approaches $+\infty$.

Answer:

$y > 0$