) Is the graph a function? ) Is the graph continuous or discontinuous? ) Determine if f is symmetry to x-axis, y-axis, origin. ) Determine if f(x) is even, odd, or neither. ) Find the domain. Write your answer in interval notation. Find the range. Write your answer in interval notation. ) Find the y-intercept(s) if any. Write your answer as an ordered pair. )Find the x-intercept(s) if any. Write your answer as an ordered pair. Find the following function values: f(2); f (0); f (4); f (6) For what value(s) of x is f(x)=9 ? 0On what interval(s) is f increasing? Write your answer in interval notation. On what interval(s) is f decreasing? Write your answer in interval notation. n) On what interval(s) is f constant? Write your answer in interval notation. ) Find the absolute maximum if any. ) Find the absolute minimum if any. ) Find the local maximum if any. ) Find the local minimum if any. For what values of x is f(x)>0. Write your answer in interval notation. For what values of x is f(x)<0. Write your answer in interval notation.
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.
I only need help with J through S
![Answer each question. Approximate values when necessary.
1.
a) Is the graph a function?
b) Is the graph continuous or discontinuous?
c) Determine if f is symmetry to x-axis, y-axis, origin.
d) Determine if f(x) is even, odd, or neither.
e) Find the domain. Write your answer in interval notation.
f) Find the range. Write your answer in interval notation.
g) Find the y-intercept(s) if any. Write your answer as an ordered pair.
h) Find the x-intercept(s) if any. Write your answer as an ordered pair.
i) Find the following function values: f(2); f (0); f (4); f (6)
j) For what value(s) of x is f(x)=9?
k) On what interval(s) is f increasing? Write your answer in interval notation.
I) On what interval(s) is f decreasing? Write your answer in interval notation.
m) On what interval(s) is f constant? Write your answer in interval notation.
n) Find the absolute maximum if any.
o) Find the absolute minimum if any.
p) Find the local maximum if any.
q) Find the local minimum if any.
r) For what values of x is f(x)>0. Write your answer in interval notation.
s) For what values of x is f(x)<0. Write your answer in interval notation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F538adbfc-035b-41b2-8cbb-e7a19998cf14%2Fe7a44ae6-ce9e-4374-9082-74625ab99ada%2Fd1zbexr_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
J) f(x)= 9 for x=4 and -4
K) f is increasing from 0 to 4 i.e (0,4)
L) f is decreasing from (-4,0) U (2,6)
M) f is nowhere constant in any interval
N) absolute maximum is 9
O) absolute minimum is -3
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