Vocabulary
Building Functions
Inverses
Transformations
100
What is a translation?
A transformation that shifts the function up, down, left, or right.
100
What is Function Composition?
Functions within functions.
100
Review #8
State the inverse of the relation.
100
Given the following equation state the effect on the graph.
f(x)=(x-2)^2
Shift Right 2
200
What does the following mean?
fcircg(x)
Function Composition:
f(g(x))
200
What is the inner function?
1/(|x|)
Inner:
|x|
200
BONUS: What's heavier?
A pound of feathers or a pound of bricks?
They are tied!
1 pound = 1 pound
200
Given the following equation state the effect on the graph.
f(x)=3sqrtx
Vertical stretch by 3
300
Write the notation for the Inverse of function g(x)
g^-1(x)
300
Evaluate:
f(x)=x^2
2f(3)-1
2f(3)-1=2(9)-1=17
300
Are these graphs inverses?
No, inverse is reflection across y=x
300
Given the following equation state the effect on the graph.
f(x)=1/2|x|-5
Vertical Shrink by 1/2
Shift Down 5
400
BONUS:
How many digits are in
pi?
An infinite number!
400
Evaluate:
f(x)=x-2 quad quad quad g(x)=x/2
f(g(100))
f(g(100))=50-2=48
400
Find the inverse algebraically.
f(x)=1/3x+2
f^-1(x)=3x-6
400
What would the equation of a square root function reflected horizontally and shifted 3 units down look like?
f(x)=sqrt(-x)-3