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Function Characteristics part 1
Use function characteristics involving x and y-values to describe function graphs and tables.
20
Mathematics
11th Grade
11/10/2011

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Cards

Term

 

[image]

 

Definition

Domain: -2 < x < 4

Range: 0 < y < 3

 

x-intercept: (1, 0)

y-intercept: (0, 1)

 

maximum point: (-2, 3) and (4, 3)            maximum value: y = 3

 

minimum point: (1, 0)          minimum value: y = 0

 

Term
[image]
Definition

Domain: x > -2

Range: all real numbers

 

x-intercept: (-3, 0) and (-1, 0)

y-intercept: (0, 6)

 

maximum point: none            maximum value: none

 

minimum point: (-2, -2)          minimum value: y = -2

Term
[image]
Definition

Domain: -1 < x < 2

Range: -1 < y < 2

 

x-intercept: (0, 0)

y-intercept: (0, 0)

 

maximum point: (2, 2)            maximum value: y = 2

 

minimum point: (-1, -1)          minimum value: y = -1

Term
[image]
Definition

Domain: all real numbers

Range: y > 0

 

x-intercept: (0, 0)

y-intercept: (0, 0)

 

maximum point: none            maximum value: none

 

minimum point: (0, 0)          minimum value: y = 0

 

Term
[image]
Definition

Domain: {1, 2, 4, 6, 9, 11}

Range: {15, 20, 30, 40, 55, 65}

 

x-intercept: none

y-intercept: none

 

maximum point: (11, 65)            maximum value: y = 65

 

minimum point: (1, 15)           minimum value: y = 15

Term

Assume height is input and shoe size is output

[image]

Definition

Domain: {53, 58, 62, 67, 70, 74}

Range: {04, 06, 07, 09, 11, 14}

 

x-intercept: none

y-intercept: none

 

maximum point: (74, 13)            maximum value: y = 13

 

minimum point: (53, 04)           minimum value: y = 04

 

Term
[image]
Definition

Domain: all real numbers

Range: all real numbers

 

x-intercept: approximately (1.5, 0)

y-intercept: (0, -3)

 

maximum point: none          maximum value: none

 

minimum point: none          minimum value: none

 

Term
[image]
Definition

Domain: {-2, -1, 0, 1, 2}

Range: {-11, -4, -3, -2, 5}

 

x-intercept: none

y-intercept: (0, -3)

 

maximum point: (2, 5)            maximum value: y = 5

 

minimum point: (-2, -11)           minimum value: y = -11

 

Term

X

Y

0

1

–1

–2

–2

–3

–3

–2

–4

1

Definition

Domain: {0, -1, -2, -3, -4}

Range: {1, -2, -3}

 

x-intercept: none

y-intercept: (0, 1)

 

maximum point: (0, 1) and (-4, 1)      maximum value: y = 1 

 

minimum point: (-2, -3)           minimum value: y = -3

 

Term
[image]
Definition

Domain: all real numbers

Range: y < 4

 

x-intercept: (-1, 0) and (3, 0)

y-intercept: (0, 3)

 

maximum point: (1, 4)      maximum value: y = 4 

 

minimum point: none           minimum value: none

 

Term
[image]
Definition

Domain: all real numbers

Range: all real numbers

 

x-intercept (roots, zeros): (-3, 0), (0, 0) and (3, 0)

y-intercept: (0, 0)

 

maximum point: none      maximum value: none

 

minimum point: none           minimum value: none

Term
[image]
Definition

 

Domain: x ≠ 1

Range: y ≠ 1

 

x-intercept (roots, zeros): (-1, 0)

y-intercept: (-1, -1)

 

maximum point: none      maximum value: none

 

minimum point: none           minimum value: none

 

Term
[image]
Definition

 

Domain: 1 < x < 3

Range: y = 1 and 2 < y < 3

 

x-intercept (roots, zeros): none

y-intercept: none

 

maximum point: (1, 3) and (3, 3)      maximum value: y = 3

 

minimum point: (1, 1)           minimum value: y = 1

 

Term
[image]
Definition

 

Domain: all real numbers

Range: y > 0

 

x-intercept (roots, zeros): none

y-intercept: (0, 1)

 

maximum point: none     maximum value: none

 

minimum point: none           minimum value: none

 

Term
[image]
Definition

 

Domain: all real numbers

Range: y > 0

 

x-intercept (roots, zeros): (0, 0)

y-intercept: (0, 0)

 

maximum point: none     maximum value: none

 

minimum point: (0, 0)           minimum value: y = 0

 

Term
f(x) = x2
Definition

 

Domain: all real numbers

Range: y > 0

 

x-intercept (roots, zeros): (0, 0)

y-intercept: (0, 0)

 

maximum point: none     maximum value: none

 

minimum point: (0, 0)           minimum value: y = 0

 

Term

 

[image]

Definition

 

Domain: x > 3

Range: y > 0

 

x-intercept (roots, zeros): (3, 0)

y-intercept: (3, 0)

 

maximum point: none     maximum value: none

 

minimum point: (3, 0)           minimum value: y = 0

 

Term
y = -4x + 3
Definition

 

Domain: all real numbers

Range: all real numbers

 

x-intercept (roots, zeros): (¾, 0)

y-intercept: (3, 0)

 

maximum point: none     maximum value: none

 

minimum point: none           minimum value: none

 

Term

y =      1    

           x + 4

Definition

 

Domain: x ≠ -4

Range: y ≠ 0

 

x-intercept (roots, zeros): none

y-intercept: (0, ¼)

 

maximum point: none     maximum value: none

 

minimum point: none        minimum value: none

 

Term
g(x) = ιx - 1ι + 3 
Definition

 

Domain: all real numbers

Range: y > 3

 

x-intercept (roots, zeros): none

y-intercept: (3, 0)

 

maximum point: none     maximum value: none

 

minimum point: (0, 3)           minimum value: y = 3

 

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