Solving Equations
Slope
Polynomials/Function Notation
Domain, Range, and Equations
Key Features and Functions
100
Solve for x:
8+5(4x+6)=98
x=3
100
Solve from two points:
(-20,-10), (5,15)
Slope: 1
100
(m2-m)+(2m+m2)
2m2+m
100
What is the domain and range of the table?
domain: -9,-3,3,9,15
Range: 10,8,6,4,2
100
Is this a function?
NO
200
Solve for y:
3x+4y=8
y=-3/4x+8/3
200
Slope from two points:
(-15,19),(-17,-5)
slope: 12
200
(8n4+n-2)+(3n4+6n+7)
11n4+7n+5
200
What is the domain and range of the graph?
domain: all real numbers
Range: y>5
200
Is this a function?
YES
300
Solve for x
15-5(4x-7)=50
x=0
300
Slope from the table: (bonus for the y-intercept)
slope: -1/3
y-intercept: 7
300
Given f(x)=2x-3, evaluate for f(4) and f(x)=-21
5
x=-9
300
What is the domain and range of the graph?
domain: all real numbers
Range: y>-2
300
Identify the vertex, zeros, and axis of symmetry.
vertex: (1,5)
zeros: none
AOS: x=1
400
Solve for y:
3x-2y=-10
y=3/2x+5
400
Slope from the graph: (bonus for the y-intercept)
slope: 1/2
y-intercept: -2
400
(-4p3+4p2-3)-(-4p2+8p+5)
-4p3+8p2-8p-8
400
Write the equation for the following graph.
y=1/2x-2
400
Identify the vertex, zeros, axis of symmetry, y- intercept, and if it is a max or min.
vertex: (1,-2)
zeros: x=-.5, 2.5
AOS: x=1
y-intercept: y=-1
min
500
Solve for k:
-5(4k-6)+5k=150
k= -8
500
How do you find slope from a table? Graph? Two Points?
table: change in y/change in x
graph: rise/run
two points: y2-y1/x2-x1
500
Given f(x)=5x-4, evaluate for f(-3) and f(x)=16
-19
x=4
500
Write the equation from the following table.
y=3x+5
500
Identify the vertex, zeros, axis of symmetry, max or min, domain, range, and y-intercept.
vertex: (-2,-8)
zeros: x=-5,1
AOS= x=-2
Min
Domain: All Real Numbers
Range: y>-8
y intercept: -4