Answer:
Step-by-step explanation:
1)
Altitude = 2
Period = 2pi/(1/2) = 4pi
(since 1/2 is coefficient of x)
Altitude interval = [-4,0]
Domain interval = set of all real numbers
Phase shift = 0
Vertical shift = 2 down
2) y=-4sin(2x+pi/2)-2
Altitude = 4
Period = 2pi/(2) = pi
(since 2 is coefficient of x)
Altitude interval = [-6,2]
Domain interval = set of all real numbers
Phase shift = pi/2
Vertical shift = 2 down
Answer:
For x∈ {-∞,-3} y<0, below x-axis
x∈ {-3,-1} y>0, above x-axis
x∈ {-1,4} y<0, below x-axis
x∈ {4,∞} y>0, above x-axis
Step-by-step explanation:
f(x)=
=0
For x∈ {-∞,-3} y<0, below x-axis
x∈ {-3,-1} y>0, above x-axis
x∈ {-1,4} y<0, below x-axis
x∈ {4,∞} y>0, above x-axis
Answer: it is not a function
Step-by-step explanation:
Given :
= 3x + 1
The first thing is to make y the subject of the formula, that means we will take the square root of both sides
y =
since y = , the the value of y could be positive or negative.
For example , = ± 2 , since -2 x -2 will also give + 4
For y = to be a function , there must be a unique value for y for each value of x , but this is not the case as y could be positive or negative for a single value of x , so it is not a function.