Questions
MATH136-12P-IO-202510-I-81X M04: Midterm Exam Review Quiz - Timed
Multiple fill-in-the-blank
State when the function is increasing and decreasing using interval notation. Use inf for ∞\infty. Increasing: [Fill in the blank], Decreasing: [Fill in the blank],
View Explanation
Verified Answer
Please login to view
Step-by-Step Analysis
We are asked to state where the function is increasing and where it is decreasing, using interval notation with inf for infinity.
First, examine the options in the context of typical turning points: if a function has a critical point at x = 3, a common behavior is that the function increases to the right of 3 and decreases to the left of 3. This would give increasing on (3, ∞) and decreasing on (−∞, 3).
Now evaluate each option for the Increasing blank:
- (3, inf): This matches the idea that the function increases for all x greater than 3. It excludes 3 itself (which is typical if 3 is a critical point where the slope may be zero or undefined) and includes all larger x values. This is a valid increasing interval if the funct......Login to view full explanationLog in for full answers
We've collected over 50,000 authentic exam questions and detailed explanations from around the globe. Log in now and get instant access to the answers!
Similar Questions
Given a function whose graph is shown below, under which interval/s is the graph increasing? A. ( − 3 , − 1 ) ∪ ( 2 , 4 ) B. ( − 1 , + ∞ ) C. ( − 3 , 1 ) D. ( − ∞ , − 3 ) ∪ ( − 1 , 2 ) ∪ ( 4 , + ∞ )
For 𝑓 and 𝑔 real valued functions defined for all real numbers, ( 𝑔 ∘ 𝑓 ) ( 𝑥 ) = 𝑔 ( 𝑓 ( 𝑥 ) ) or all 𝑥 . Which of the following is (are) true? I. If 𝑓 is increasing and 𝑔 is increasing, then 𝑔 ∘ 𝑓 is increasing. II. If 𝑓 is increasing and 𝑔 is decreasing, then 𝑔 ∘ 𝑓 is decreasing. III. If 𝑓 is decreasing and 𝑔 is increasing, then 𝑔 ∘ 𝑓 is decreasing.
State when the function is increasing and decreasing using interval notation. Use inf for ∞\infty. Increasing: [Fill in the blank], Decreasing: [Fill in the blank],
Find the interval on which the function 𝑓 ( 𝑥 ) = 𝑥 ln 𝑥 is increasing.
More Practical Tools for Students Powered by AI Study Helper
Making Your Study Simpler
Join us and instantly unlock extensive past papers & exclusive solutions to get a head start on your studies!