The function in the image is the function that needs to be analyzed please help. Also f(x) continuous at x=10? explain Is f(x) differentiable at x=10 ? explain **Analyze the function $ f(x) $**\[ f(x) = \begin{cases} \frac{1}{2}x + 19 & \text{if } x < 10 \\\sqrt{10x} + 14 & \text{if } x \geq 10 \\\end{cases} \]In this function $ f(x) $, there are two pieces defined based on the value of $ x $. - For $ x < 10 $, the function is $ f(x) = \frac{1}{2}x + 19 $. This is a linear function with a slope of $ \frac{1}{2} $ and a y-intercept of 19. - For $ x \geq 10 $, the function becomes $ f(x) = \sqrt{10x} + 14 $. This is a function involving a square root, suggesting a curve that increases at a decreasing rate as $ x $ increases. The expression under the square root is $ 10x $, and there is a vertical shift upwards by 14 units.

Answered: Image /qna-images/answer/5cba55ef-48c9-496e-a3d7-01a94bca0594.jpg

Answered: analyze the function f(x) = * +19 if…

analyze the function f(x) = * +19 if <10 I 2 10 z +14 if # 2 10

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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