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6Let w7 d x)t 2 Find nd simplity the follwing Hinti e aneers from t

6Let w7 d x)t 2 Find nd simplity the follwing Hinti e aneers from t

Algebra and Trigonometry (6th Edition)
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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Certainly! Below is a transcription of the educational content from the image: --- **6. Let \( f(x) = 1.2x + 7 \) and \( g(x) = 4x^2 - 3 \). Find and simplify the following. Hint: Use answers from #5.** a. \( (f \cdot g)(-2) \) b. \( (g - f)(5) \) --- **7. Write the standard form of the equation of the circle with the center at \((-6, 2)\) and radius 8.** --- **8. Graph the circle \((x - 1)^2 + (y + 3)^2 = 4\). Identify the following** - Center: __________ - Radius: __________ - Domain: __________ - Range: __________ *Diagram*: A graph is provided with a coordinate grid where the graph of the given circle equation is likely shown. --- **9. Let \( f(x) = x^5 + 8x^4 - 12x^3 \). Find the following information and use it to sketch the graph of \( f(x) \).** - Determine the end behavior: \( \uparrow \uparrow \quad \downarrow \downarrow \quad \uparrow \downarrow \quad \downarrow \uparrow \) --- This content focuses on algebraic functions, circles in geometry, and polynomial end behavior.
Transcribed Image Text:Certainly! Below is a transcription of the educational content from the image: --- **6. Let \( f(x) = 1.2x + 7 \) and \( g(x) = 4x^2 - 3 \). Find and simplify the following. Hint: Use answers from #5.** a. \( (f \cdot g)(-2) \) b. \( (g - f)(5) \) --- **7. Write the standard form of the equation of the circle with the center at \((-6, 2)\) and radius 8.** --- **8. Graph the circle \((x - 1)^2 + (y + 3)^2 = 4\). Identify the following** - Center: __________ - Radius: __________ - Domain: __________ - Range: __________ *Diagram*: A graph is provided with a coordinate grid where the graph of the given circle equation is likely shown. --- **9. Let \( f(x) = x^5 + 8x^4 - 12x^3 \). Find the following information and use it to sketch the graph of \( f(x) \).** - Determine the end behavior: \( \uparrow \uparrow \quad \downarrow \downarrow \quad \uparrow \downarrow \quad \downarrow \uparrow \) --- This content focuses on algebraic functions, circles in geometry, and polynomial end behavior.
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