Asked by Matthew Demilio on May 15, 2024
Verified
Find the critical numbers. 4x−3\frac { 4 } { x - 3 }x−34
A) −43- \frac { 4 } { 3 }−34
B) 777
C) 4,34,34,3
D) −3- 3−3
E) 333
Critical Numbers
Values in the domain of a function where its derivative is zero or undefined, often marking potential maxima, minima, or inflection points.
- Determine the critical points of functions.
Verified Answer
IA
ivette avilaMay 20, 2024
Final Answer :
E
Explanation :
The critical numbers are the values of x that make the denominator of the fraction equal to 0 or undefined. In this case, the denominator is x-3. So we solve x-3=0 to get x=3. This is the only critical number, and it makes the denominator undefined. Therefore, the answer is E, 3.
Learning Objectives
- Determine the critical points of functions.