1. (a) A function f is increasing on (a, b) if. when- ever a < x1 < x2 < b. (b) A function f is decreasing on (a, b) if . when- ever a < x1 < x2 < b. (c) A function f is concave up on (a, b) if f' is on (a, b). (d) If f"(a) exists and f has an inflection point at x = a, then f"(a)
1. (a) A function f is increasing on (a, b) if. when- ever a < x1 < x2 < b. (b) A function f is decreasing on (a, b) if . when- ever a < x1 < x2 < b. (c) A function f is concave up on (a, b) if f' is on (a, b). (d) If f"(a) exists and f has an inflection point at x = a, then f"(a)
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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![1. (a) A function f is increasing on (a, b) if.
when-
ever a < x1 < x2 < b.
(b) A function f is decreasing on (a, b) if .
when-
ever a < x1 < x2 < b.
(c) A function f is concave up on (a, b) if f' is
on (a, b).
(d) If f"(a) exists and f has an inflection point at x = a,
then f"(a)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F34cfc740-a335-4dd2-ad96-a662263704b3%2F4f735fde-7a18-4e6c-ab25-4cb317301fcb%2F0b42qqk.jpeg&w=3840&q=75)
Transcribed Image Text:1. (a) A function f is increasing on (a, b) if.
when-
ever a < x1 < x2 < b.
(b) A function f is decreasing on (a, b) if .
when-
ever a < x1 < x2 < b.
(c) A function f is concave up on (a, b) if f' is
on (a, b).
(d) If f"(a) exists and f has an inflection point at x = a,
then f"(a)
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