Question

An exponential function has the equation f(x)=−3x−2. Complete the inequality to show the range of the function. The graph approaches but does not touch the asymptote y=−2

The range of the function is y

Answer 1

Assuming the function is f(x) = −3^x − 2 (an exponential), 3^x > 0 so −3^x < 0 and −3^x − 2 < −2. The values approach −2 from below but never reach it, so

Inequality: y < −2

Interval: y ∈ (−∞, −2)