I am overwhelmed by this problem. **Instructions for Analyzing the Graph**Refer to the graph to the right and follow the directions in parts (a) through (f).**(a)** Determine if $ a > 1 $ or if $ 0 < a < 1 $.**(b)** Provide the domain and range of $ f $ and the equation of the asymptote.**(c)** Sketch the graph of $ g(x) = -a^x $.**(d)** Provide the domain and range of $ g $ and the equation of the asymptote.**(e)** Sketch the graph of $ h(x) = a^{-x} $.**(f)** Provide the domain and range of $ h $ and the equation of the asymptote. The image depicts the graph of the exponential function $ f(x) = a^x $, where $ a $ is a positive constant greater than 1. The graph displays several key points and features:1. **Axes**: The $ x $-axis is horizontal, and the $ y $-axis is vertical, both with arrows indicating positive directions.2. **Function Curve**: The curve is upward sloping, becoming steeper as it moves to the right, illustrating exponential growth.3. **Key Points**: - $ (0, 1) $: The curve intersects the $ y $-axis at the point $ (0, 1) $, indicating that any exponential function $ a^0 = 1 $. - $ (1, a) $: The curve passes through the point $ (1, a) $, showing that $ a^1 = a $. - $ (-1, a^{-1}) $: The curve is shown passing through this point, representing $ a^{-1} = \frac{1}{a} $.These features together illustrate the basic properties of the exponential function, highlighting its continuous increase and key values at particular points.

Answered: Refer to the graph to the right and…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Refer to the graph to the right and follow the directions in parts (a) through (f). (a) Is a > 1 or is 0