(a) Does g have a relative minimum, a relative maximum, or neither at x = 10 ? Justify your answer. (b) Does the graph of g have a point of inflection at x = 4 ? Justify your answer. (c) Find the absolute minimum value and the absolute maximum value of g on the interval -4 < x< 12. Justify your answers. (d) For -4 < x < 12, find all intervals for which g(x) < 0.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
This question has 4 parts if possible could you answer them if not can you just do part b. Thank you
![(4, 4)
10
-2
2
12
-4-
(-4, -4)
(8, -4)
(12, -4)
Graph of f
The figure above shows the graph of the piecewise-linear function f. For -4 < x < 12, the function g is defined
by g(x) = ], f(t) dı.
(a) Does g have a relative minimum, a relative maximum, or neither at x = 10 ? Justify your answer.
(b) Does the graph of g have a point of inflection at x =
4 ? Justify your answer.
(c) Find the absolute minimum value and the absolute maximum value of g on the interval -4 <x < 12.
Justify your answers.
(d) For -4 < x< 12, find all intervals for which g(x) < 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa482c0d8-d99b-4458-8980-80dc8d1b3897%2Fec54dbbc-3c63-4f5e-b906-2eb9fe0ce6b7%2Fk37pnw_processed.png&w=3840&q=75)
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