Algebra First Test Flashcards
What is Function Notation?
F(x)
What is Absolute Value College Way?
|x|={x if x>=0
-x if x<=0
Standard form of the Equation of Line
Ax+By=C
Slope
m=change of Y/ change of X
Slope of Intercept Form
Y=mx+b
Point-Slope Formula for a Line
y-y1=m(x-x1)
Does Parallel Lines have same Slope?
Yes
What does Linear Cost function do & formula?
Models the cost C(x) to provide x-items
C(x)=mx+b
What does the Linear Revenue Function provide & formula?
Models revenue R(x) for selling x-items
R(x)=px
What does the Linear profit function provide and formula?
Models the profit for producing & selling x-items
P(x)=R(x) - C(x)
What is Linear Function formula, Domain, and Range?
Formula - F(x)=mx+c
Domain - (-♾️,♾️)
Range - (-♾️,♾️)
What is the Constant Function Formula, Domain, & Range?
Formula - F(x)=b
Domain - (-♾️, ♾️)
Range - [2]
What is the Identity Function Formula, Domain, & Range?
Formula - F(x)=x
Domain - (-♾️, ♾️)
Range - (-♾️, ♾️)
What is the Quadratic Function Formula, Domain, Range?
Parabola
Formula - F(c)=x^2
Domain - (-♾️, ♾️)
Range - [0, ♾️)
What is Cube Function Formula, Domain, & Range?
Formula - F(x)=x^3
Domain - (-♾️, ♾️)
Range - (-♾️, ♾️)
What is Square Root Function Formula, Domain, & Range?
Formula - F(x)=Square Root(x)
Domain - [0, ♾️)
Range - [0, ♾️)
What is Cube Root Function Formula, Domain, Range?
Formula - F(x)= Cube Root(x)
Domain - (-♾️, ♾️)
Range - (-♾️, ♾️)
What is Absolute Value Function Formula, Domain, & Range?
Formula - F(x)=|x|
Domain - (-♾️, ♾️)
Range - [0, ♾️)
What is Reciprocal Function Formula, Domain, & Range?
Formula - F(x)=1/x
Domain - (-♾️, 0)U(0, ♾️)
Range - (-♾️, 0)U(0, ♾️)
y=a(F(x))
Vertical stretch is?
Vertical Shrink is?
Which values does it affect and what does it do to it?
Vertical Stretch - (a>1)
Vertical Shrink - (0<a<1)
Affects every y-values
Multiply every y-value by a
y=F(ax)
Horizontal Shrink is?
Horizontal Stretch is?
What values does it affect and what does it do to it?
Horizontal Shrink - (a>1)
Horizontal Stretch - (0<a<1)
Affects x-values
Divide every x value by a
Formula to Reflect over x- axis and which values changes?
y=-F(x)
y-value changes
What is Formula to Reflect y-axis and which values changes?
y=F(-x)
x-values changes
What is the Answer?
|x|=-4
|x|>-4
|x|<-4
- No Solution
- All Real Numbers
- No Solution
What is the Conditional Equation?
X=#
What is the Contradiction Equation?
-1=15
What is the Identity Equation?
-1=-1
Which of the two ways do you solve?
|x+3|<5
|x+3|>5
- -5<x+3<5
- X+3>5 OR X+3<-5
What is the complex number?
Square Root -1
(Square Root -1)^2
- i
- i^2
How to solve. Y=x^2 + 2
[-3,1]?
(((1)^2 + 2)-((-3)^2 + 2))/(1-(-3))
