Chapter 5: Absolute Value
what is positive?
A graph where data points are plotted with no connection
Scatter Plot
Standard form of exponential function
y= a b^x
Name of this polynomial:
2x^3 +3x^5-3
Parabola
The number of solutions when an absolute value is equal to 0
what is 1 solution?
This type of bias occurs when someone only pick their friends to take a survey
Selection Bias
Represents the rate of change in the standard exponential function
b
Simplify (7x)^0(2x^5y^3)(2y^-2)
4x^5 y
Factor
x^2+10x+16
(x+8)(x+2)
The part of an absolute value expression that moves the y-coordinate of the vertex
What is the outside?
This type of sampling is used when only 10th grade tennis players take the survey
Stratified
Linear or exponential?
x: 1,2,3,4,5
y:5,10,20,30,40
Exponential
Simplify sqrt(32)
4sqrt(2)
Factor
x^2+8x-20
(x+10)(x-2)
Solve 2(abs(x+3))-2=4
x=0, -6
Out of 30 seniors, 50 juniors, 35 sophmores, and 25 freshman. The percentage of sophmores in the school.
25%
Linear or Exponential?
x: 1,3,4,5,7
y: 3,7,9,11,15
Linear
Add/subtract
(6a^2+2a-5)-(3a^3+2a^2+6)
-3a^3+4a^2+2a-11
Factor
x^3+5x^2-24x
x(x+8)(x-3)
The standard form of an absolute value equation
y= abs(mx+b)+k
Line of best fit using points (1,8) (3,18)
y= 5x+3
A regional AAA basketball tournament is held to determine the region’s champion. The tournament starts with 128 teams. After each round, half of the remaining teams are eliminated. The equation is represent this situation.
y=128 (0.5)^x
Multiply
(5x^3+4x)(3x-2)
15x^4-15x^3+12x^2-12x
The vertex of the quadratic:
x^2+6x-5
(-3,-14)