what does it mean for a function to have an absolute extreme value at a point c of an interval a,b? choose…

what does it mean for a function to have an absolute extreme value at a point c of an interval a,b? choose the correct answer below. a. a function f has an absolute maximum at c in a,b if f(c)>f(x) for all x in a,b. a function f has an absolute minimum at c in a,b if f(c)<f(x) for all x in a,b. b. a function f has an absolute maximum at c in a,b if f(c)≤f(x) for all x in a,b. a function f has an absolute minimum at c in a,b if f(c)≥f(x) for all x in a,b. c. a function f has an absolute maximum at c in a,b if f(c)≥f(x) for all x in a,b. a function f has an absolute minimum at c in a,b if f(c)≤f(x) for all x in a,b. d. a function f has an absolute maximum at c in a,b if f(c)<f(x) for all x in a,b. a function f has an absolute minimum at c in a,b if f(c)>f(x) for all x in a,b.

what does it mean for a function to have an absolute extreme value at a point c of an interval a,b? choose the correct answer below. a. a function f has an absolute maximum at c in a,b if f(c)>f(x) for all x in a,b. a function f has an absolute minimum at c in a,b if f(c)<f(x) for all x in a,b. b. a function f has an absolute maximum at c in a,b if f(c)≤f(x) for all x in a,b. a function f has an absolute minimum at c in a,b if f(c)≥f(x) for all x in a,b. c. a function f has an absolute maximum at c in a,b if f(c)≥f(x) for all x in a,b. a function f has an absolute minimum at c in a,b if f(c)≤f(x) for all x in a,b. d. a function f has an absolute maximum at c in a,b if f(c)<f(x) for all x in a,b. a function f has an absolute minimum at c in a,b if f(c)>f(x) for all x in a,b.

Answer

Brief Explanations:

An absolute maximum of a function (f(x)) on the interval ([a,b]) at (x = c) means (f(c)\geq f(x)) for all (x\in[a,b]), and an absolute minimum at (x = c) means (f(c)\leq f(x)) for all (x\in[a,b]).

Answer:

C. A function (f) has an absolute maximum at (c\in[a,b]) if (f(c)\geq f(x)) for all (x\in[a,b]). A function (f) has an absolute minimum at (c\in[a,b]) if (f(c)\leq f(x)) for all (x\in[a,b])