Find an exponential function of the form f(x) = ba² %3| given that the graph of the function passes through the points P(0, –1) and Q ( Simplify your answer completely and enter exact answers only (no approximations). f(x) =

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 3SE: If the order is reversed when composing two functions, can the result ever be the same as the answer...
Question
**Problem Statement:**

Find an exponential function of the form \( f(x) = ba^x \), given that the graph of the function passes through the points \( P(0, -1) \) and \( Q\left(\frac{1}{8}, -e\right) \). Simplify your answer completely and enter exact answers only (no approximations).

**Solution:**

Determine the exponential function, \( f(x) \), using the given points.
Transcribed Image Text:**Problem Statement:** Find an exponential function of the form \( f(x) = ba^x \), given that the graph of the function passes through the points \( P(0, -1) \) and \( Q\left(\frac{1}{8}, -e\right) \). Simplify your answer completely and enter exact answers only (no approximations). **Solution:** Determine the exponential function, \( f(x) \), using the given points.
Find an exponential function of the form \( f(x) = ba^x \), given that the \( y \)-intercept of the function is \(-\frac{1}{5}\), and the graph of the function passes through the point \(\left(-1, -\frac{e}{5}\right)\). Simplify your answer completely and enter exact answers only (no approximations).

\( f(x) = \)
Transcribed Image Text:Find an exponential function of the form \( f(x) = ba^x \), given that the \( y \)-intercept of the function is \(-\frac{1}{5}\), and the graph of the function passes through the point \(\left(-1, -\frac{e}{5}\right)\). Simplify your answer completely and enter exact answers only (no approximations). \( f(x) = \)
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