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THIS
IS
Function
Basics and
Operations
Graphs and
Inverses
Periodic
Functions
Functions
of Two
Variables
Mixed
Review
(challenge)
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
Tell if the following is the
graph of a function if so give
its domain and range
A 100
It is not the graph of a
function
A 100
Tell if the following is the
graph of a function if so give
its domain and range
A 200
Domain: all real numbers
Range:
A 200
Find the domain and range
for the function
f(x) = x2 + 2.
A 300
Domain: All real numbers
Range: all real numbers f(x) ≥ 2
A 300
Given
f(x)=2x, g(x)=x + 4, and h(x)=5 – x3,
find (f + g)(2), (h – g)(2), (f × h)(2),
and (h / g)(2).
A 400
(f + g)(2) = 10
(h – g)(2) = -9
(f × h)(2) = -12
(h / g)(2) = -0.5
A 400
Given f(x) = 4x 3 and g(x) = 2x2
Find g º f (x), and g º f (5).
A 500
g(f(x)) = 2(4x - 3)2
= 2(16x2 - 24x + 9) = 32x2 - 48x + 18
g(f(5)) = 32(5)2 - 48(5) + 18 =
800 - 240 + 18 = 578
A 500
Tell if x2-xy = 4 has
symmetry in the following:
x-axis
y-axis
line y = x
origin
B 100
x-axis: x2-x(-y) = 4; No
y-axis: (-x)2-(-x)y = 4; No
line y = x: y2-yx = 4; No
Origin: (-x)2-(-x)(-y) = 4 Yes
B 100
Graph y = x2 and its reflection
in the x-axis, then give the
equation of the reflection
B 200
y=
x2
y = -(x2)
B 200
Given y =x2-3 graph it and y= |f(x)| giving the
equation
B 300
y
=x2-3
y =|x2-3|
B 300
Reflect this graph in the line y = x
B 400
B 400
Use symmetry to graph
|x| + |y| = 1
B 500
Given the following
B 500
Find the period and amplitude
C 100
Period : 4
Amplitude: 1
C 100
Does f have an inverse, if not
why?
C 200
f does not have an inverse
because it is not one-to-one
C 200
Sketch the graph of y = |f(x)|
C 300
C 300
DAILY
DOUBLE
Place A Wager
C 400
Sketch the graph of y = f(x-1)
C 400
C 400
Sketch the graph of y = f(-x) + 2
C 500
C 500
Give the reason that any
function does not have an
inverse
D 100
It is not one-to-one
D 100
Suppose f has an inverse If
f(2) = 3
Find f-1(-3)
D 200
f-1(-1) = 2
D 200
Find a rule for g-1 if g(x) = 4 x
D 300
g-1 = x/4
D 300
Is the function f(x) = x3-1 a
one-to-one function. Explain?
D 400
Yes, it passes the horizontal line test
D 400
Which of the following
functions have inverses?
a. f(x) = |x|
b. f(x) = x3
c.
d.
f(x) = x4
f(x) = x4, x ≤ 0
D 500
b. f(x) = x3
d. f(x) = x4, x ≤ 0
D 500
Given the graph of y = f(x) Sketch
the graph of each of the following:
a.
y = 2f(x)
b.
y = |2f(x)|
c.
d.
y = -f(x)
y = f(x+2)
E 100
E 100
The area A of a triangle is a function of the base b and height h.
a) Express A as a function of b and h
b) Find A(3,4) and A(6,5)
c) Draw the curve of constant area A(b,h) in a bh-plane
E 200
a. A(b,h) = 1/2bh
b. A(3,4) = 6 and A(6,5) = 15
E 200
Question Number Three E
E 300
a) Wind-chill temp is a function of recored
temp and wind speed
b) 16 mi/hr
c) The latter feels warmer
d) Between 5mi/h and 10mi/hr
E 300
Question Number Four E
E 400
a) A(4,3,5) = 94; A (6,4,7) = 188
b) Surface area of a rectangle prism is a
function of length, width, and height
E 400
Question Number Five E
E 500
C
E 500
The Final Jeopardy Category is:
Forming functions from verbal descriptions
Please record your wager.
Click on screen to begin
Express the area A
of a 30-60-90 triangle as a function
of the length h of the hypotenuse.
Click on screen to continue
Click on screen to continue
Thank You for Playing Jeopardy!