Given the exponential function f(x) = 3(2)**1 – 3, which of the following is NOT a correct representation of the range of f(x)? O (-3, 0) O v ly > -3} O v ly is the R} O tv ly > -3}

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,...
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Given the exponential function \( f(x) = 3(2)^{x+1} - 3 \), which of the following is **NOT** a correct representation of the range of \( f(x) \)?

**Graph Description:**
- The graph shows the exponential function \( f(x) = 3(2)^{x+1} - 3 \).
- It features a sharp upward curve, indicating the exponential growth behavior of the function.
- The horizontal asymptote is at \( y = -3 \).

**Range Options:**
- \( (-3, \infty) \)
- \( \{y \mid y > -3 \} \)
- \( \{ y \mid y \text{ is the } \mathbb{R} \} \)
- \( \{ y \mid y > -3 \} \)

Note: The correct range of this function is \( y > -3 \), so the representation \( \{ y \mid y \text{ is the } \mathbb{R} \} \) is not a correct representation of the range.
Transcribed Image Text:Given the exponential function \( f(x) = 3(2)^{x+1} - 3 \), which of the following is **NOT** a correct representation of the range of \( f(x) \)? **Graph Description:** - The graph shows the exponential function \( f(x) = 3(2)^{x+1} - 3 \). - It features a sharp upward curve, indicating the exponential growth behavior of the function. - The horizontal asymptote is at \( y = -3 \). **Range Options:** - \( (-3, \infty) \) - \( \{y \mid y > -3 \} \) - \( \{ y \mid y \text{ is the } \mathbb{R} \} \) - \( \{ y \mid y > -3 \} \) Note: The correct range of this function is \( y > -3 \), so the representation \( \{ y \mid y \text{ is the } \mathbb{R} \} \) is not a correct representation of the range.
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