Key Features of functions
Transformations (Absolute Value and Square Roots)
Systems of Equations
Function Notation
Linear Inequalities and Lines
100
What is interval notation and how is it written
( , )
( , ]
[ , )
[ , ]
100
What does a negative do in front of the function do in terms of a transformation
Reflects it over the x-axis
100
solve by elimination
3x+2y=4
-3x+2y=4
(0,2)
100
if f(x)=6x-6
What is f(4)
18
100
Given the equation of a line in standard form what is the equation of the line in slope intercept form
15x+5y=10
y=-3x+2
200
Find the x and y intercepts of the following line in standard form
3x+5y=15
x-int: (5,0)
y-int: (0,3)
200
List all of the possible key features of an absolute value function
Negative sign(-) in front: Reflect over x-axis
Vertical stretch/compression: Scale factor is always positive stretch(a>1) vertical compression (a<1)
Horizontal shift: (left/Right) Opposite
Vertical shift: (up/down) actual
200
What does substitution or elimination tell us
POI
200
h(x)=|3x-1|-4
Find h(-4)
9
200
Give the inequality that represents this graph
y<-2x+4
300
Graph the function on a calculator and find the domain and range of the following function
f(x)= -|x+3|
domain: all real #'s
Range: (-infinity, 0)
300
What is the vertex of this abs value function
f(x)=-|x+4|+5
(-4,5)
300
Solve using substitution
y=2x+4
4x+2y=16
(1,6)
300
Find x if f(x)=3x+5 an f(x)=14
x=3
300
In the graph above tell me the inequality and where to shade if we have the sign
y</=
y<=1/5x-1
400
When is the following function increasing and when is it decreasing. In interval notation
f(x)=sq. root(x+5)-1
inc.: (-5, infinity)
dec. : NEVER
400
List all of the transformations from the parent function of a square root to
f(x)= sqrt(x+4)-4
left 4 down 4
400
Solve the system
2x+4y=16
y=-0.5x+4
Infinitely many
400
Find x if f(x)=55 and f(x)= x2 + 6
x=7
400
Given the two points (-2,-7) and (2,5) Give the equation of a line that passes through those points
y=3x-1
500
When is the following function positive and when it is negative. Give in interval notation
g(x)= -|x+3|+4
negative(below x-axis): (-infinity, -7) U (1, infinity)
positive(above x-axis): (-7,1)
500
Tell me everything transformation you know about the following function
f(x)=-3|x+44|-16
Reflect over x-axis
left 44
down 16
vert stretch: Scale factor 3
500
Solve the system of equation
3x-5y=17
15y=9x+54
No solution
500
f(x)=x^2+4x+9
h(x)=-|-3x-4|+4
g(x)=2x-4
Find g(h(f(-3)))
-40
500
Given the lines
y>x+4
and
4x-2y>20
Give a point that exists in the feasible region
Many exist I chose (3,8)