THIS
IS

Function
Basics and
Operations
Graphs and
Inverses
Periodic
Functions
100
100
100
Functions of Two
Variables
Mixed
Review
(challenge)
100
100
200
300
200
300
200
300
200
300
200
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 ) = x 2 + 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(16x 2 - 24x + 9) = 32x 2 - 48x + 18 g(f(5)) = 32(5) 2 - 48(5) + 18 =
800 - 240 + 18 = 578
A 500

Tell if x 2 -xy = 4 has symmetry in the following: x-axis y-axis line y = x origin
B 100

x-axis: x 2 -x(-y) = 4; No y-axis: (-x) 2 -(-x)y = 4; No line y = x: y 2 -yx = 4; No
Origin: (-x) 2 -(-x)(-y) = 4 Yes
B 100

Graph y = x 2 and its reflection in the x-axis, then give the equation of the reflection
B 200

y = x 2 y = -(x 2 )
B 200

Given y =x 2 -3 graph it and y= |f(x)| giving the equation
B 300

y =x 2 -3 y =|x 2 -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

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) = x 3 -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) = x 3 c.
f(x) = x 4 d.
f(x) = x4, x ≤ 0
D 500

b. f(x) = x 3 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.
y = -f(x) d.
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!