Chapter 1 Flashcards

1
Q

What does this sign mean >

A

positive number this sign to be used in domain and range

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2
Q

What is the Domain and Range for
f(x)=x2
f(x)=|x|

A

D: {x€R}
R: {f(x)€R|f(x)last # or (c)

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3
Q

What does this sign mean

A

negative number this sign to be used in domain and range

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4
Q

What is the domain and range of

f(x)=/x

A

D: Tale the number inside the square root and flip
R: take the outside # (c)

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5
Q

What are the domain and range for f(x)=_____1____

5x + 12

A

=\
D: take bottom numbers take last # and attached x # and put into a fraction
R: take c and that’s your range

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6
Q

Table of values for a linear function

A

F(x)=x

X       Y
-2     -2
-1      -1
0        0
1         1
2         2
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7
Q

What is the table of values for a quadratic function

A

F(x) = x2

X      Y
-2     4
-1      1
0       0
1        1
2       4
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8
Q

What is the table of values for a square root function

A

F(x) = /x

X     y
0     0
1      1
4     2
9     3
16    4
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9
Q

What is the table of values for an absolute value function

A

F(x)=|x|
* to solve what is in the brackets the number must become positive and then multiply

X      Y
-2      2
-1       1
0        0
1         1
2         2
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10
Q

What is the table of values for a reciprocal function

A

F(x) = 1
X

X              Y
-2         -1/2
-1            -1
-1/2        -2
--------------
0              0
--------------
1/2            2
1                1
2               1/2
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11
Q

Function Defintion

A

A relation that has one X value that produces only one y value

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12
Q

Proper function form

A

F(x)=a f(k(x-d)) + c

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13
Q

When it’s a stretch you

A

Mutiply

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14
Q

When it’s a shift you

A

Add or subtract

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15
Q

The vertical stretch is

A

A and it goes to the y transformations

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16
Q

What is the horizontal stretch and which transformation does it go to

A

1/K

X transformations

17
Q

What is the horizontal shift and what transformation does it belong too

A

D

X transformation

18
Q

What is the vertical shift and where does it belong

A

C

Y transformation

19
Q

What is the domain and range of

f(x)=/x

A

D: Tale the number inside the square root and flip
R: take the outside # (c)

20
Q

What are the domain and range for f(x)=_____1____

5x + 12

A

=\
D: take bottom numbers take last # and attached x # and put into a fraction
R: take c and that’s your range

21
Q

Table of values for a linear function

A

F(x)=x

X       Y
-2     -2
-1      -1
0        0
1         1
2         2
22
Q

What is the table of values for a quadratic function

A

F(x) = x2

X      Y
-2     4
-1      1
0       0
1        1
2       4
23
Q

What is the table of values for a square root function

A

F(x) = /x

X     y
0     0
1      1
4     2
9     3
16    4
24
Q

What is the table of values for an absolute value function

A

F(x)=|x|
* to solve what is in the brackets the number must become positive and then multiply

X      Y
-2      2
-1       1
0        0
1         1
2         2
25
Q

What is the table of values for a reciprocal function

A

F(x) = 1
X

X              Y
-2         -1/2
-1            -1
-1/2        -2
--------------
0              0
--------------
1/2            2
1                1
2               1/2
26
Q

Function Defintion

A

A relation that has one X value that produces only one y value

27
Q

Proper function form

A

F(x)=a f(k(x-d)) + c

28
Q

When it’s a stretch you

A

Mutiply

29
Q

When it’s a shift you

A

Add or subtract

30
Q

The vertical stretch is

A

A and it goes to the y transformations

31
Q

What is the horizontal stretch and which transformation does it go to

A

1/K

X transformations

32
Q

What is the horizontal shift and what transformation does it belong too

A

D

X transformation

33
Q

What is the vertical shift and where does it belong

A

C

Y transformation