Download are inverse functions?

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Functions
Jeopardy
Hosted by D. Leach
© Don Link, Indian Creek School, 2004
Linear
Special Domain &
Equations Functions Range
Functions
Inverse
Functions
$100
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$200
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$400
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$500
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Find f-g(x) for f(x) = x + 2
2
and g(x) = x + 4x - 4
Functions for $100
2
-x
– 3x - 2
Find
.
f g(x)
for f(x) = 3x + 5
and g(x) = x - 3
Functions for $200
2
3x
– 4x - 15
Find f(g(-3)) for
2
f(x) = x + 1 & g(x) = x - 1
Functions for $300
17
Find h(g(x)) for
g(x) = 3x + 2 &
h(x) = 5 – 3x
Functions for $400
-9x - 1
Find h(g(x)) for h(x) =
and g(x) = x - 2
Functions for $500
3
x
-
2
6x
+ 12x - 8
3
x
Find the inverse of
f(x) = -2x - 3
Inverse Functions for $100
-1
f (x)
= -x – 3
2
Is the inverse of
{(-1,-2),(-3,-2),(-1,-4),(0,6)
function?
Inverse functions for $200
No
How can you algebraically
determine if g(x) and f(x)
are inverse functions?
Inverse Functions for $300
If f(g(x)) = g(f(x)) = x
The graphs of inverse
functions are reflections over
the line whose equation is:
Inverse functions for $400
y=x
Functions that are not
_________ do not have
inverses that are functions
Inverse functions for $500
one-to-one
Find the x- and yintercept of 6x = -12y + 48
Linear Equations for $100
(8,0) & (0,4)
Write y = 2/3x + 1 in
Standard form. Identify
A, B, & C.
Linear Equations for $200
2x – 3y = -3
A=2, B=-3, C=-3
Find the slope of a line
passing through
(-6,3) & (6,7)
Linear Equations for $300
5/6
Write an equation in slopeIntercept form for a
line passing through
(3,8) & (-3,2)
Linear Equations for $400
y = 5/3 x - 3
Write the equation in slopeintercept form that passes
through (5,2) perpendicular to
2x + 3y = 1
Linear Equations for $500
y = 3x - 13
The graph of y = x
is called the
Special functions for $100
Identity function
A linear function with
a slope of zero is called
Special Functions for $200
Constant function
F(x) = [x] is called the
Special Functions for $300
greatest integer function
Which transformations
are needed to graph
F(x) = |x – 4| + 2 from the
Parent function?
Special functions for $400
Shift 4 units right,
2 units up
If g(x) = x  3
if x > 3
3–x
if x < 3
find g(-1) and g(7).
Special Functions for $500
4&2
What is the domain &
range of y = -2x + 5?
Domain & Range for $100
All Real Numbers
Find the range of
f(x) = |x| - 3.
Domain & Range for $200
[ 3,  )
What is the domain of
F(x) = x
Domain & Range for $300
[0,  )
What is the domain of
F(x) = [x]?
Domain & Range for $400
All real numbers
What is the domain
of f(x) = |[x]|?
Domain & Range for $500
All whole numbers
(non-negative integers)