Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.2 Exponential Functions - 12.2 Exercise Set - Page 794: 2

True.

Work Step by Step

The function $f(x)=a^{x}$, where $a$ is a positive constant, $a\neq 1$, and $x$ is any real number, is called the exponential function, base $a.$ All graphs of $f(x)=a^{x}$ go through the $y$-intercept $(0,1)$. All graphs of $f(x)=a^{x}$ have the $x$-axis as the horizontal asymptote. For $0\lt a\lt 1$, the graph of $f(x)=a^{x}$ decreases from left to right. The smaller the value of $a$, the steeper the curve. True.

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