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Step-by-step explanation:
Explanation:
Consider the following general periodic function:

where
a= amplitude
b = frecuency
h= phase translation
k= vertical translation
2π/ |b| = period
Now, consider the following periodic function:

Applying the definition given at the beginning of this explanation, we can see that:
a = amplitude = 3
2π/ |b| = period = 2π/|1| = 2π
Then, the graph of the given function is:
Notice that the greatest and least values of y are 3 and -3 respectively.
We can conclude that the correct answer is:
Answer:
Graph:
Period:

Amplitude:

The greatest value of y (coordinate y of the maximum point):

The least value of y (coordinate y of the minimum point):
Answer:
x = 8, y = 3
Step-by-step explanation:
Equating corresponding x and y coordinates , then
- y = - x + 5 ( multiply through by - 1 )
y = x - 5 → (1)
2x - 5y = 1 → (2)
Substitute y = x - 5 into (2)
2x - 5(x - 5) = 1 ← distribute and simplify left side
2x - 5x + 25 = 1
- 3x + 25 = 1 ( subtract 25 from both sides )
- 3x = - 24 ( divide both sides by - 3 )
x = 8
Substitute x = 8 into (1) for corresponding value of y
y = 8 - 5 = 3
Answer:
The ordered pairs are (5,-12), (-1,-1).
Step-by-step explanation:
Given : Inequality 
To find : Which ordered pairs are solutions to the inequality ?
Solution :
We put the given options the point which satisfied the equation is the solution.
Inequality 
1) (5,-12)



It is true.
2) (-1,-1)



It is true.
3) (-3,0)



It is false.
4) (4,-12)



It is false.
Therefore, The ordered pairs are (5,-12), (-1,-1).