Functions/Relations
Function Operations
Polynomials
Inverse functions
Absolute values
100
Is the following a function? (1,0) (2,1) (3,2) (4,3)
Yes
100
f(x)+g(x)
F(2x-6),g(6x-7)
8x-13
100
X2+7+2X2=?
3X2+7
100
g(x) = 4 - 3/2x f (x) 1/2 x - 3/2
Is the function inverse?
NO
100
[3x] = 9
Solve
{3, −3}
200
Is this relation a function?
(16,16),(1,16),(10,1),(18,12)
YES!
200
find f(x)-g(x)
f(3x2 +8), g(4x2-2)
-x2+10
200
(3x – 5)(2x2 – 4x + 7)
6x3-22x2+41x-35
200
f (n) = −(n + 1)3 g(n) = 3 + n3
Is the following inverse?
NO
200
[−6m] = 30
Solve
{−5, 5}
300
Is the following graph a function?
NO!
300
f (x) = 4x − 3 g(x) = x3 + 2x Find ( f − g)(4)
−59
300
(4x – 7)(2x – 9)
8x2-50x+63
300
Find the inverse.
g(x) = −4x + 1
g −1(x) = 1/4 x + 1/4
300
[−4 + 5x] = 16
Solve
{4, − 12/5 }
400
Is the following image a function?
YES!
400
g(a) = −3a − 3 f (a) = a2+ 5 Find (g − f )(a)
−a2− 3a − 8
400
(4x + 3)(7x – 5)
28x2+x-15
400
g(x) = − 2/x − 1 f (x) = − 2/x + 1
Find the inverse.
Yes
400
[v + 8] − 5 = 2
solve
{−1, −15}
500
Is the following graph a function?
NO!
500
f (x) = 3x − 1 g(x) = x2− x Find ( f g ) (x)
3x − 1 / X2− x
500
5x2y(7x2 – 4xy2 + 2y3)
35x4y-20x3y3+10x2y4
500
h(x) = 3√x − 3
Find the inverse.
h −1(x) = (x + 3)3
500
5 [9 − 5n ]− 7 = 38
solve
{0, 18/5 }