Domain & Range
Characteristics of Functions
Inverses
Parent Functions
Transformations
10
Review #3
What is the range of the following?
R: { -7, -1/8, 4, 11, -5}
10
Review #10
Which graphs below have reflectional symmetry?
Graphs A & B
10
Review #8
State the inverse of the relation.
10
Review #11
What is the equation and the graph of the quadratic parent function?
y=x^2
10
Review #12
Given the following equation state the parent function and the transformations.
f(x)=(x-2)^2+5
Quadratic Function
Right 2
Down 5
20
Review #1:
What is the domain and range of the function in interval notation?
D: (-4,4]
R: [-6,4]
20
Review # 5
What is the x-intercept and the y-intercept of the graph?
x-intercept: (-6,0)
y-intercept: (0,6)
20
BONUS QUESTION
State the inverse of the relation.
20
Review #11
What is the equation and the graph of the absolute value parent function?
y=|x|
20
Review #12
Given the following equation state the parent function and the transformations.
f(x)=-3sqrtx +7
Square Root Function
Reflect over the x-axis
Vertical stretch by 3
Up 7
30
Review #7
What is the domain and range of the function in interval notation?
D: [1,infty)
R: (-infty,4]
30
Review #4:
Where is the function increasing and decreasing?
Increasing: (-\infty,\infty)
Decreasing: never
30
Review #9
Find the inverse algebraically.
f(x)=-1/3x+2
f^-1(x)=-3x+6
30
Review #11
What is the equation and graph of the square root parent function?
y=sqrtx
30
BONUS QUESTION
Given the following equation state the parent function and the transformations.
f(x)=-1/2|x|-5
Absolute Value Function
Reflect over the x-axis
Vertical Shrink by 1/2
Down 5
40
Review #2:
What is the domain and range in set (inequality) notation?
D: {x|0<x<=4}
R: {y|0<=y<8}
40
Review #7
Where is the function increasing and decreasing?
Increasing: never
Decreasing: (1,\infty)
40
Review #6
Find the inverse algebraically.
f(x)=2x-7
f^-1(x)=1/2x+7/2
40
Review #11
What is the equation and the graph of the cubic parent function?
y=x^3
40
BONUS QUESTION
Given the following equation state the parent function and the transformations.
f(x)=-root(3)(x-5)+8
Cube Root Function
Reflect over the x-axis
Right 5
Up 8
50
Review #5:
What is the domain and range in set (inequality) notation?
D: {x|x in RR}
R: {y|y>=-6}
50
Review #7
What is the y-intercept of the graph?
there is none
50
BONUS QUESTION
Find the inverse algebraically.
f(x)=5x+3
f^-1(x)=1/5x-3/5
50
Review #11
What is the equation and the graph of the cube root parent function?
y=root(3)x
50
BONUS QUESTION
What would the equation of a quadratic function translated 4 units to the left and 5 units down look like?
f(x)=(x+4)^2-5