What type of function is f(x) = -(x+1)(x-2)^2
1 answer:
Answer:
Cubic function
Step-by-step explanation:
Expand the brackets:
Therefore this is a cubic function as it is a polynomial function of degree three.
This is also a many-to-one function such that more than one element of the domain are connected to the same element in the range. For example,
f(0) = -4 and f(3) = -4. So when x is 0 and 3, y = -4. Hence, many-to-one.
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This is a 30-60-90 triangle. The short leg is given to us as 5
The long leg is equal to sqrt(3) times the short leg
long leg = sqrt(3)*(short leg)
long leg = sqrt(3)*5
long leg = 5*sqrt(3)
The base is 5. The height is 5*sqrt(3)
b = 5
h = 5*sqrt(3)
Use this to find the area
A = b*h/2
A = 5*5*sqrt(3)/2
A = 25*sqrt(3)/2
which is the exact area in terms of a radical
You can write it out as
The long leg is equal to sqrt(3) times the short leg
long leg = sqrt(3)*(short leg)
long leg = sqrt(3)*5
long leg = 5*sqrt(3)
The base is 5. The height is 5*sqrt(3)
b = 5
h = 5*sqrt(3)
Use this to find the area
A = b*h/2
A = 5*5*sqrt(3)/2
A = 25*sqrt(3)/2
which is the exact area in terms of a radical
You can write it out as