13. The function k is given by k(x) = (2x+1)(4x-7). Find the x-coordinate(s) of all critical point(s) of the function. (If there are none, write "DNE".) x =
13. The function k is given by k(x) = (2x+1)(4x-7). Find the x-coordinate(s) of all critical point(s) of the function. (If there are none, write "DNE".) x =
Calculus: Early Transcendentals
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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13
![**Problem 13:**
The function \( k \) is given by \( k(x) = (2x + 1)(4x - 7) \).
Find the x-coordinate(s) of all critical points of the function. (If there are none, write "DNE").
Options:
A) \((-3, 4)\)
B) \((-∞, 3)(0, 4)\)
C) \((-3, 0)(4, ∞)\)
D) \((4, 3)\)
E) \((0, ∞)\)
F) \((∞, 0)\)
G) \((-4, 3)\)
K) \((-4, 0),(3, ∞)\)
M) \((-∞, -3),(4, ∞)\)
P)
\[ x = \frac{5}{8} \]
**Problem 14:**
If \( f(x) = \sqrt[3]{8x - 3} + \frac{7}{3} \), what is the value of \( x \) where the slope "Does Not Exist"?
\[ f(x) = \left[8x - 3\right]^{\frac{1}{3}} + 3 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb492f7ae-3a50-4a0d-856d-c60c2ea37af5%2F4edfb083-b343-4b87-9eff-82e0bf03a4d8%2Fmzye6x8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 13:**
The function \( k \) is given by \( k(x) = (2x + 1)(4x - 7) \).
Find the x-coordinate(s) of all critical points of the function. (If there are none, write "DNE").
Options:
A) \((-3, 4)\)
B) \((-∞, 3)(0, 4)\)
C) \((-3, 0)(4, ∞)\)
D) \((4, 3)\)
E) \((0, ∞)\)
F) \((∞, 0)\)
G) \((-4, 3)\)
K) \((-4, 0),(3, ∞)\)
M) \((-∞, -3),(4, ∞)\)
P)
\[ x = \frac{5}{8} \]
**Problem 14:**
If \( f(x) = \sqrt[3]{8x - 3} + \frac{7}{3} \), what is the value of \( x \) where the slope "Does Not Exist"?
\[ f(x) = \left[8x - 3\right]^{\frac{1}{3}} + 3 \]
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