Equations in Standard Form
Slopes and Rates of Change
Functions
Characteristics of Functions
Transformations
100
Determine the x and y-intercepts for the function:
3x + y = 9
y-int: (0,9)
x-int: (3,0)
100
What is the slope of the line that contains the points
(−2, 6) and (4, −6)?
m=-2
100
Is the following a function:
{(-1, 2), (0, 0), (3, 5), (4, 6)}
Yes, as each x is going to one y
100
What is the domain? What the range?
Domain: x
x<=2
, Range:
y>=-1
100
Given the equation g(x)= -f(x) + 3, identify the transformations.
What is reflected over the x-axis and shifted up 3 units
200
Determine the x and y-intercepts of the following:
-5x + 4y = 12
x-int: (-12/5,0)
y-int:(0,3)
200
What is the slope of the line passing through the points (1, 4) and (6, -1)?
m=-1
200
Is the following a function:
{(-2, -1), (1, 5), (3, 2), (1, -2)}
No, as x=1 is going to 2 y values.
200
What is the maximum/minimum & zeros?
No maximum, minimum at -1, zeros at -1 and 1
200
Given the equation h(x)= 3f(x - 4), identify the transformations.
Vertical stretch by a factor of 3, moved to the right 4 units.
300
Is the point: (5, 0) on the line -4x + 5y = 20?
NO, -20 is not equal to 20
300
When driving on a highway, Ian passed the 23 mile marker with 15 gallons of gas in the tank. When he passed the 73 mile marker, he had 12.5 gallons of gas left. What is the average rate of change during this time? Include units in your answer.
m=20 miles per gallon
300
Find f(12) using the following function: f(x) = -5x – 12
f(12)=-72
300
Is the function y=-3x+5 increasing or decreasing?
The function is decreasing as the slope is negative
300
Given the equation j(x)= 0.5f(x) + 10, identify the transformations.
Vertical compression by a factor of 0.5, Moved up 10 units
400
Angela is in a comic book store where they sell classic and new comic books.The classics are $5 each, and the new ones are $2. Let x represent the number of classic comic books and y represent the number of new comic books. Write an equation to represent her purchases if she has $15 to spend.
5x+2y=15
400
What is the slope: 
m=-1/3
400
Find g(5) given the function g(x) = -⅗ x + 2
g(5)= -1
400
What is the x and y-int of the function y=3x+6
Y-int: (0,6)
x-int: (-2,0)
400
Given the equation k(x)= -3g(x + 15) + 10 identify the transformations
Reflection over the x-axis, vertical stretch by a factor of 3, moved to the left 15, moved up 10.
500
Circular tables seat 8 people and rectangular tables seat 10 people. Write an equation that models the number of tables that would seat 80 people.
80=8c+10r
500
During a hike, Alex reached the 15th checkpoint with 20 liters of water in his backpack. When he arrived at the 45th checkpoint, he had 14 liters of water left. What is the average rate of change of water in Alex's backpack during this hike? Include units in your answer.
m= -1/5 liter per check point
500
g(x) = x3, find g(-3)
g(-3)= -27
500
What is the domain, range, max/min, & zero?
Domain
1<=x<=4
Range
-2<=y<=7
max: 7, min: -2, zero: x = 3
500
Given the equation q(x)= -0.4f(x - 20) - 30 identify the transformations.
Reflection over the x-axis, vertical compression by a factor of 0.4, Moved to the right 20 units, moved down 30 units.