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: This soon to be married couple rocks the music charts and the football field. Name either of them!
Taylor Swift and Travis Kelce
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)
f^-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