An exponential function is shown below. Select all the statements that describe its end behavior. y=3(3) * As x gets larger and larger, the graph of y decreases. As x gets smaller and smaller, the graph of y approaches 0. As x gets larger and larger, the graph of y approaches positive infinity.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question
An exponential function is shown below. Select all the statements that describe its end behavior.

\[ y = 3 \left(\frac{2}{5}\right)^{-x} \]

- [ ] As \( x \) gets larger and larger, the graph of \( y \) decreases.
- [ ] As \( x \) gets smaller and smaller, the graph of \( y \) approaches 0.
- [ ] As \( x \) gets larger and larger, the graph of \( y \) approaches positive infinity.
Transcribed Image Text:An exponential function is shown below. Select all the statements that describe its end behavior. \[ y = 3 \left(\frac{2}{5}\right)^{-x} \] - [ ] As \( x \) gets larger and larger, the graph of \( y \) decreases. - [ ] As \( x \) gets smaller and smaller, the graph of \( y \) approaches 0. - [ ] As \( x \) gets larger and larger, the graph of \( y \) approaches positive infinity.
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