23. An exponential function of the form F(x) = a ·bx+c is shown in the table below. 3 6 x F(x) -8 -6 -3 4.9997 4.9973 4.9259 4.3333 -1 -49-1453 A. Describe the end behavior of the function using limit notation. -1 1 B. What is the equation of the horizontal asymptote? C. What conclusion can be made about the value D. What is the value of c? Give a reason. of a? Why?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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please do 23

**Problems 23 – 24**, use the table and given information to answer the questions.

**23.** An exponential function of the form \( F(x) = a \cdot b^x + c \) is shown in the table below.

\[
\begin{array}{|c|c|c|c|c|c|c|c|}
\hline
x & -8 & -6 & -3 & -1 & 1 & 3 & 6 \\
\hline
F(x) & 4.9997 & 4.9973 & 4.9259 & 4.3333 & -1 & -49 & -1453 \\
\hline
\end{array}
\]

**A.** Describe the end behavior of the function using limit notation.

**B.** What is the equation of the horizontal asymptote?

**C.** What conclusion can be made about the value of \( a \)? Why?

**D.** What is the value of \( c \)? Give a reason.
Transcribed Image Text:**Problems 23 – 24**, use the table and given information to answer the questions. **23.** An exponential function of the form \( F(x) = a \cdot b^x + c \) is shown in the table below. \[ \begin{array}{|c|c|c|c|c|c|c|c|} \hline x & -8 & -6 & -3 & -1 & 1 & 3 & 6 \\ \hline F(x) & 4.9997 & 4.9973 & 4.9259 & 4.3333 & -1 & -49 & -1453 \\ \hline \end{array} \] **A.** Describe the end behavior of the function using limit notation. **B.** What is the equation of the horizontal asymptote? **C.** What conclusion can be made about the value of \( a \)? Why? **D.** What is the value of \( c \)? Give a reason.
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