The image displays a graph of the exponential function, specifically the natural exponential function \( y = e^x \). The graph is plotted on the Cartesian coordinate plane with the horizontal x-axis ranging from -4 to 6 and the vertical y-axis ranging from -4 to 5.### Key Features of the Graph:- **Curve Description**: - The curve is a red line that starts from the left at (approximately) (-4, -4), moves smoothly upward, passing near the origin (0, 0), and rises steeply as it progresses to the right. - **X-Axis and Y-Axis Intersections**: - The graph approaches but never touches the x-axis as \( x \) goes to negative infinity, indicating a horizontal asymptote at \( y = 0 \). - The curve passes through the point (0, 1), showing that the function evaluates to 1 when \( x = 0 \).- **Behavior**: - For \( x < 0 \): The curve descends gradually. - At \( x = 0 \): The curve intercepts the y-axis. - For \( x > 0 \): The curve rises sharply, demonstrating exponential growth.This graph illustrates the exponential growth behavior typical of functions of the form \( y = e^x \), where the rate of increase becomes very rapid as \( x \) moves in the positive direction. **Domain and Range of a Function**1. **Domain of \( f \):** Write the domain of \( f \) in interval notation. Enter \(-\infty\) as -INF, \(\infty\) as INF, and \(\cup\) (union) as U. **Input Box:** [____________________] - *Submit Answer* Button (Tries 0/99)2. **Range of \( f \):** Write the range of \( f \) in interval notation. Enter \(-\infty\) as -INF, \(\infty\) as INF, and \(\cup\) (union) as U. **Input Box:** [____________________] - *Submit Answer* Button (Tries 0/99)3. **Evaluate \( f(-2) \):** Find \( f(-2) \) **\( f(-2) = \) Input Box:** [____________________] - *Submit Answer* Button (Tries 0/99)

domain of f in interval notation is (−∞, ∞). (that is whole ℝ)

Answered: Write the domain of f in interval…

Math

Algebra

Write the domain of f in interval notation. Enter -0 as -INF, ∞ as INF, and U (union) as U. Domain of f :

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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