Functions

Domain and Range

400

The list of all possible inputs

Domain

800

(3, 2) (5, 7) (-1, 4) (0, -12) (-5, 11)

D:{3, 5, -1, 0, -5}

R:{2, 7, 4, -12, 11}

1200

y: 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11,12,13, 14, 15

x: 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5

D:{9, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5}

R:{1, 2, 3, 4, 5, 6, 7, 8, 9, 10 , 11, 12, 13, 14, 15}

1600

The list of all possible outputs

Range

2000

f(x) = x + 7

D: All Real Numbers

R: All Real Numbers

Evaluating Functions 1

400

f(x) = x + 7; f(8)

f(8) = 15

800

h(x) = x - 8; h(10)

h(10) = 2

1200

g(x) = 2x - 7; g(3)

g(3) = -1

1600

h(x) = 3x + 4; h(3q)

h(3q) = 9q + 4

2000

h(x) = (3/2)x + 3; h(8)

h(8) = 15

Evaluating Functions 2

400

f(x) = (2/3)x + 7; f(3)

f(3) = 9

800

h(x) = 6x + 1; h(2) - h(1)

6

1200

f(x) = x² + 3x + 9; f(2) -2f(1)

-7

1600

h(x) = x² - 9x + 3; h(2c)

h(2c) = 4c² - 18c + 3

2000

f(x) = (3/2)x + 17; f(2m + 4)

f(2m + 4) = 3m + 23

Finding Zeros 1

400

h(x) = 7x - 49

x = 7

800

g(x) = 2x - 12

x = 6

1200

f(x) = x + 7

x = -7

1600

g(x) = 3x + 15

x = -5

2000

f(x) = 4x + 96

x = -24

Finding Zeros 2

400

h(x) = (1/2)x + 8

x = -16

800

g(x) = (2/3)x - 8

x = 12

1200

f(x) = (5/8)x - 10

x = 16

1600

h(x) = (7/16)x + 14 

x = -32

2000

f(x) = (6/5)x + 198

x = -165