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Jeopardy
Choose a category.
You will be given the answer.
You must give the correct
question. Click to begin.
Choose a
point value.
Click here for
Final Jeopardy
12 Basic
Functions
Add, Subtract,
Transformations Composition
Multiply, &
Divide
Of Functions
Functions
Inverses
10 Point
10 Point
10 Point
10 Point
10 Point
20 Points
20 Points
20 Points
20 Points
20 Points
30 Points
30 Points
30 Points
30 Points
30 Points
40 Points
40 Points
40 Points
40 Points
40 Points
50 Points
50 Points
50 Points
50 Points
50 Points
3
Jeopardy Board
Which of the 12
basic functions
have even
symmetry?
HINT: There are 3!
Jeopardy Board
Which of the 12 Basic
Functions have ODD
symmetry?
HINT: There are 4!
Jeopardy Board
Which 2 of the 12
basic functions are
exactly the same just
shifted horizontally?
Jeopardy Board
What is the name of
this function, and
where are its horizontal
asymptotes?
Asymptotes at y=1 and the
x-axis Jeopardy Board
Let f(x) = 3x and
g(x) = 5x – 9.
Find (f + g)(x)
(f + g)(x) = 8x - 9
Jeopardy Board
Perform the requested
operation:
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Perform the requested
operation:
Jeopardy Board
2
1-x and
Let f(x) =
g(x) = 1-x.
Find (f g)(x)
(f g)(x) = 1 - x -
2
x +
Jeopardy Board
3
x
Find (f – g)(x)
and (f + g)(4) for
2
f(x) = 4x -5x+2 and
2
g(x) = 4+2x+2x
(f – g)(x)=
2
2x -7x-2
(f + g)(4) = 90
Jeopardy Board
The function
2
f(x) = (x – 3) +4 is the
2
basic function f(x) = x
translated how?
Right 3 units and
up 4 units
Jeopardy Board
Fill in the blanks to complete the
statement:
(x+6)
e
-5
The graph of y =
can
be obtained from the graph of
x
y = e by shifting horizontally
? units to ? and shifting
vertically ? units to the ?
direction.
6; left; 5;
downward
Jeopardy Board
Give the equation of the function g
whose graph is descibed:
The graph of
is reflected across the x-axis
Jeopardy Board
If
is
reflected about the
y-axis, what is the
new function?
Jeopardy Board
Rewrite the basic
square root function
as if it were shifted 8
units to the left and 3
units up.
Jeopardy Board
x
e
Given f(x) = and
g(x) = x + 6,
Find f(g(x))
f(g(x)) =
x+6
e
Jeopardy Board
5
x
Given f(x) = and
g(x) = -5 + x,
Find (g f)(x)
2-
3
3x
Jeopardy Board
Perform the requested
operation:
2
4x
f(x) =
+ 4x + 8
g(x) = 4x – 3
Find g(f(x))
g(f(x)) =
2
16x
+ 16x +
29
Jeopardy Board
4
x
If f(x) = and
2
g(x) = 1- 2x ,
find g(f(x))
1–
8
2x
Jeopardy Board
zz
Given
2
and g(x) = x + 4,
find (g f)(6)
Jeopardy Board
The functions f(x) and g(x) are
inverses. Draw a function map
that clearly organizes the
relationships between the
functions, their inputs and
outputs.
1
1
2
2/3
-2/3
2
Jeopardy Board
Find the equation of
the Inverse function
of:
f(x) = 3x + 4
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Graph the inverse:
f(x) = 3x - 1
Jeopardy Board
Find the inverse of
the function:
-1
f (x)
= 4(x +
3
8)
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IF:
Confirm algebraically that f and g are
inverses by showing that f(g(x)) = x
and g(f(x)) = x
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Final
Jeopardy
Make your wager
Graph the function:
a. Use keywords and complete sentences to
explain how to obtain your graph from the
twelve basic functions.
b. On what intervals is the function’s graph
increasing? Decreasing? Constant?
c. Is the graph even, odd, or neither?
d. Is the graph bounded above, bounded
below, bounded, or unbounded?
USE ONLINE GRAPHING TOOL
a. The function f(x) = ln(x) is reflected
about the x-axis and then added to
the function f(x) = x
b. The function is decreasing on (0, 1)
and increasing on (1, ∞)
c. The graph is neither even nor odd
d. The graph is bounded below because
there is a minimum