Graph exponential, logarithmic, and trigonometric functions with key features.
Identify key graph features from an exponential, logarithmic, or sinusoidal equation
Problem
For \(y~=~4(1.5)^x~-~2\), state the graph family, classify growth or decay, and give the asymptote.
Big Picture
What this problem is really about
Identify the family from where the variable appears: a variable in the exponent signals an exponential graph. Next inspect the base to distinguish growth from decay. Finally read the additive constant outside the exponential as a vertical translation of the parent graph and its horizontal asymptote, rather than as the location of a vertical asymptote.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
