**Comparing Two Functions**In this section, we will compare two functions, labeled Function I and Function II, and analyze their properties.### Function IThe equation for Function I is given by:\[ f(x) = \sqrt{x} + 2 \]### Function IIFor Function II, a graph is provided:- The y-axis and x-axis range from -9 to 9.- The graph of Function II shows a curve that starts at the point (0, 2) and gradually decreases towards the x-axis as x increases.- Observing the graph, the curve never touches or crosses the x-axis and approaches y=0 asymptotically.### Question:**Which statement about these two functions is true?**A. Both functions have the same maximum value.B. Both functions have the same domain.C. Both functions have a y-intercept of 2.D. All of the above.**Explanation:**1. **For option A**: Function I does not have a maximum value as it increases without bound as x increases. On the other hand, Function II seems to approach a horizontal asymptote as y approaches 0 and does not have a maximum value either.2. **For option B**: The domain of Function I is \(x \geq 0\) since the square root function is undefined for negative values of x. For Function II, the graph starts at x = 0 and extends to positive infinity, which implies both functions have the same domain.3. **For option C**: Both functions intersect the y-axis at (0, 2), indicating they have a y-intercept of 2.**Correct Answer:**- **B. Both functions have the same domain.**- **C. Both functions have a y-intercept of 2.**But since both B and C are true, the correct answer is:- **D. All of the above.**

Given is the function I and a function II as a plot. We have to determine a statement that is common…

f(x)=√√√√x+2 -9-8-7-6-5-4-3-2-19 -1 -2 -3 -4 -5 -6 -7 -8 -9 1234 hich statement about these two functions is true? OA) Both functions have the same maximum value. OB) Both functions have the same domain. OC) Both functions have a y-intercept of 2.

f(x)=√√√√x+2 -9-8-7-6-5-4-3-2-19 -1 -2 -3 -4 -5 -6 -7 -8 -9 1234 hich statement about these two functions is true? OA) Both functions have the same maximum value. OB) Both functions have the same domain. OC) Both functions have a y-intercept of 2.

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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