Transcript 7.7 and 7.8 Review Jeopardy

Jeopardy
Inverse
Functions
and
Relations
Combining
Functions
Combining
Functions
Composite
Functions
Composite
Functions
Inverse
Functions
and Relations
100
600
100
600
100
600
200
700
200
700
200
700
300
300
300
400
400
400
500
500
500
Combining Functions100
Given f(x) = x + 5 and g(x) = x – 4,
find (f + g)(x)
Answer:
(f + g)(x) = 2x + 1
NEXT QUESTION
Combining Functions200
Given f(x) = 3x + 1 and g(x) = 2x – 3,
find (f – g)(x)
Answer:
(f – g)(x) = x + 4
NEXT QUESTION
Combining Functions 300
Given f(x) = 3x + 1 and g(x) = 2x – 3, find
(f • g)(x)
Answer:
(f • g)(x) = 6x2 – 7x – 3
NEXT QUESTION
Combining Functions 400
Given f(x) =
find (f/g)(x)
2
x
and g(x) = 4 – x,
Answer:
(f/g)(x) = x2 / (4 – x)
NEXT QUESTION
Combining Functions500
Given f(x) = 3x2 and g(x) = 5/x,
find (f/g)(x)
Answer:
(f/g)(x) = (3x3) / 5
NEXT QUESTION
Combining Functions600
Given f(x) = 8x - 3 and g(x) = 4x + 5,
find (f - g)(x)
Answer:
(f – g)(x) = 4x - 8
NEXT QUESTION
Combining Functions700
Given f(x) = 8x - 3 and g(x) = 4x + 5,
find (f • g)(x)
Answer:
(f • g)(x) = 32 x2 + 28x - 15
NEXT QUESTION
Trivia - 300
What became the
best selling
single of all-time
in 1997?
Answer:
Candle in the
Wind
NEXT QUESTION
Classify Real numbers400
Name the property:
3+y =y+3
Answer:
Commutative of
addition
NEXT QUESTION
Classify Real numbers500
Name the
property:
Answer:
5+0=5
Additive ID
NEXT QUESTION
Composite Functions100
Given f(x) = 3x and g(x) = x + 4,
find f[g(1)]
Answer:
f[g(1)] = 15
NEXT QUESTION
Composite Functions200
Given h(x) = x2 – 1 and g(x) = x + 4,
find g[h(-3)]
Answer:
g[h(-3)] = 12
NEXT QUESTION
Composite Functions300
Given f(x) = 3x, g(x) = x + 4, and h(x) = x2 – 1,
Find [f◦g◦h](1)
Answer:
[f◦g◦h](1) = 12
NEXT QUESTION
Composite Functions400
Given g(x) = 3x and h(x) = x – 4,
find g[h(x)]
Answer:
g[h(x)] = 3x - 12
NEXT QUESTION
Composite Functions 500
Given g(x) = x – 2 and h(x) = 3x2+ 1,
Find h[g(x)]
Answer:
h[g(x)] = 3x2 - 12x + 13
NEXT QUESTION
Composite Functions600
Given: f = {(-1, 2), (5, 6), (0, 9)},
g = {(6, 0), (2, -1), (9, 5)}
Find (f ◦ g)(9)
Answer:
(f ◦ g)(9) = 6
NEXT QUESTION
Composite Functions700
Given: f = {(-1, 2), (5, 6), (0, 9)},
g = {(6, 0), (2, -1), (9, 5)}
Find (g ◦ f)(5)
Answer:
(g ◦ f)(5) = 0
NEXT QUESTION
Absolute Value
equations-300
x  4  22  40
Answer:
No solution
NEXT QUESTION
Absolute Value
equations-400
5 x  2  30
Answer:
x=8, -4
NEXT QUESTION
Absolute Value
equations-500
2 2x  3  10  60
Answer:
x=16, -19
NEXT QUESTION
Inverses - 100
Find the inverse of the relation:
{ (-3, -7), (0, -1), (5, 9), (7, 13) }
Answer:
{ (-7, -3), (-1, 0), (9, 5), (13, 7) }
NEXT QUESTION
Inverses - 200
Find the inverse of the following
function:
f(x) = (3/4)x
NEXT QUESTION
Inverses - 300
Find the inverse of the following function:
g(x) = x-7
8
NEXT QUESTION
Inverses - 400
Determine if the following functions
are inverses of each other:
f(x) = 13x – 13
g(x) = x - 1
Answer:
NO
NEXT QUESTION
Inverses - 500
Determine if the following functions are
inverses of each other:
f(x) = 2x – 8
g(x) = ½x + 4
Answer:
YES
NEXT QUESTION
Inverses - 600
Determine if the following functions are
inverses of each other:
f(x) = 9 + (3/2)x
g(x) = (2/3)x - 6
Answer:
YES
NEXT QUESTION
Inverses - 700
Find the inverse of the following
function:
f(x) = 3x - 2
NEXT QUESTION
Compound Inequalities300
4 x 1  9 or 2 x  5 11
NEXT QUESTION
Answer:
All Real
Numbers
Compound Inequalities400
3x  5  2
Answer:
No solution
NEXT QUESTION
Compound Inequalities500
2 x  1  5  37
Answer:
x<15, x>-17
NEXT QUESTION
Daily Double
Daily Double