Domain Symmetry Function Operations Misc.Inverses
What is the domain?
X > 4 Except for 6
What is the domain?
(-∞, -7] [7, ∞)
What is the domain?
[-9, 9]
What is the domain? f(X) = ½ X 2 - 6
All Real Numbers
What is the domain?
X ≥ 1 Except 10
Identify all possible symmetries. Y = X 2 – 4|X|
Y-Axis Symmetry
Identify all possible symmetries. Y = -X + 4X |X|
Origin
Identify all possible symmetries. Y 2 - 8X =0
X-Axis Symmetry
Identify all possible symmetries. Y = X 3 – X 5
Origin Symmetry
Identify all possible symmetries. Y = X 3
Origin
f(X) = X + 4 g(X) = 7 – X Find f -1 g -1
3 – X
f(X)=3X + 5 and g(X)=5 – X. Find: A) f °g B) g ° f C) (f °g)(-8)
A)20 – 3X B)-3X C)44
f(x) = 3X + 1 and g(X) = X+ 2 Find A) f(g(X)) and B) g(f(X))
A)3X + 7 B)3X + 3
f(x) = 3X + 1 and g(X) = X+ 2 find A) f(X) g(X) B) f(X) / g(X)
A)3X 2 + 7X + 2 B) (3X+1) / (X + 2)
f(X) = 3X + 5 and g(X) = X + 4 Find: A) (f – g)(3) B) (fg)(5)
A)7 B) 180
Write the inverse. f(X) = 1 – X 3
Write the inverse. f(X) = ½ X – 5
3X – 3; X ≥ 1
f(X) = X 2 – 8 g(X) = X 3 – 4 Find f – g and its domain.
-X 3 + X 2 – 4; All Real Numbers
Write the inverse function. f(X) = X + 15
Where is the function increasing and where is it decreasing?
Increasing:(-1.16, 1.16) Decreasing: (-00, -1.16) and (1.16, 00)
Find the functions’s local minimum and local maximum.
Local Min: (-1.16, -.77) Local Max: (1.16,.77)
Is the function even, odd, or neither?
Odd
Where is the function increasing and where is it decreasing?
Increasing: (0, 5] Decreasing: [-5, 0)
Is the function even, odd, or neither?
Even