Algebra First Test Flashcards

1
Q

What is Function Notation?

A

F(x)

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2
Q

What is Absolute Value College Way?

A

|x|={x if x>=0
-x if x<=0

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3
Q

Standard form of the Equation of Line

A

Ax+By=C

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4
Q

Slope

A

m=change of Y/ change of X

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5
Q

Slope of Intercept Form

A

Y=mx+b

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6
Q

Point-Slope Formula for a Line

A

y-y1=m(x-x1)

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7
Q

Does Parallel Lines have same Slope?

A

Yes

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8
Q

What does Linear Cost function do & formula?

A

Models the cost C(x) to provide x-items

C(x)=mx+b

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9
Q

What does the Linear Revenue Function provide & formula?

A

Models revenue R(x) for selling x-items

R(x)=px

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10
Q

What does the Linear profit function provide and formula?

A

Models the profit for producing & selling x-items

P(x)=R(x) - C(x)

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11
Q

What is Linear Function formula, Domain, and Range?

A

Formula - F(x)=mx+c

Domain - (-♾️,♾️)

Range - (-♾️,♾️)

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12
Q

What is the Constant Function Formula, Domain, & Range?

A

Formula - F(x)=b

Domain - (-♾️, ♾️)

Range - [2]

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13
Q

What is the Identity Function Formula, Domain, & Range?

A

Formula - F(x)=x

Domain - (-♾️, ♾️)

Range - (-♾️, ♾️)

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14
Q

What is the Quadratic Function Formula, Domain, Range?

A

Parabola

Formula - F(c)=x^2

Domain - (-♾️, ♾️)

Range - [0, ♾️)

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15
Q

What is Cube Function Formula, Domain, & Range?

A

Formula - F(x)=x^3

Domain - (-♾️, ♾️)

Range - (-♾️, ♾️)

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16
Q

What is Square Root Function Formula, Domain, & Range?

A

Formula - F(x)=Square Root(x)

Domain - [0, ♾️)

Range - [0, ♾️)

17
Q

What is Cube Root Function Formula, Domain, Range?

A

Formula - F(x)= Cube Root(x)

Domain - (-♾️, ♾️)

Range - (-♾️, ♾️)

18
Q

What is Absolute Value Function Formula, Domain, & Range?

A

Formula - F(x)=|x|

Domain - (-♾️, ♾️)

Range - [0, ♾️)

19
Q

What is Reciprocal Function Formula, Domain, & Range?

A

Formula - F(x)=1/x

Domain - (-♾️, 0)U(0, ♾️)

Range - (-♾️, 0)U(0, ♾️)

20
Q

y=a(F(x))

Vertical stretch is?
Vertical Shrink is?

Which values does it affect and what does it do to it?

A

Vertical Stretch - (a>1)
Vertical Shrink - (0<a<1)

Affects every y-values
Multiply every y-value by a

21
Q

y=F(ax)

Horizontal Shrink is?
Horizontal Stretch is?

What values does it affect and what does it do to it?

A

Horizontal Shrink - (a>1)
Horizontal Stretch - (0<a<1)

Affects x-values
Divide every x value by a

22
Q

Formula to Reflect over x- axis and which values changes?

A

y=-F(x)

y-value changes

23
Q

What is Formula to Reflect y-axis and which values changes?

A

y=F(-x)

x-values changes

24
Q

What is the Answer?

|x|=-4

|x|>-4

|x|<-4

A
  1. No Solution
  2. All Real Numbers
  3. No Solution
25
Q

What is the Conditional Equation?

A

X=#

26
Q

What is the Contradiction Equation?

A

-1=15

27
Q

What is the Identity Equation?

A

-1=-1

28
Q

Which of the two ways do you solve?

|x+3|<5

|x+3|>5

A
  1. -5<x+3<5
  2. X+3>5 OR X+3<-5
29
Q

What is the complex number?

Square Root -1

(Square Root -1)^2

A
  1. i
  2. i^2
30
Q

How to solve. Y=x^2 + 2

[-3,1]?

A

(((1)^2 + 2)-((-3)^2 + 2))/(1-(-3))