Chapter 2

2.1 Relations and Functions

100

What is the domain and range?

{(3,-2), (4,4), (0,-2), (4,1), (3,2)}

Domain: {0,3,4}

Range: {-2,1,2,4}

200

What is the domain and range?

{(-3,14), (0,7), (2,0), (9,-18), (23,-99)}

Domain: {-3,0,2,9,33}

Range: {-99,-18,0,7,14}

300

Is this relation a function?

{(-3,-2), (0,7), (4,1)}

yes

400

Is this relation a function?

{(4, -1), (8,6), (1,-1), (6,6), (4,1)}

not a function, 4 goes to two values

500

Is this relation a function?

{(-7,14), (9,-7), (14,7), (7,14)}

yes

2.2 Direct Variation

100

Does y vary directly with x? State constant of variation and function rule if yes.

(1,2), (3,6), (4,8) 

yes, f(x)=2x

200

Does y vary directly with x? State constant of variation and function rule if yes. 

(1,4), (2,8), (3,11)

no

300

Does y vary directly with x? State constant of variation and function rule if yes. 

3y=7x

yes, k= 7/3

400

Does y vary directly with x? State constant of variation and function rule if yes.

7y=14x+7

no

500

Suppose y varies directly with x, and y=9 and x=-15. What is y when x=21?

f(21)= -63/5

2,3 Linear Functions & Slope Intercept Form

100

Find the slope of the line that passes through given points.

(-3,7) and (-2,4)

m=-3

200

Find the slope of the line that passes through given points. 

(9,3) and (9,-4)

m= undefined

300

Write an equation for the line.

m=-2 and y-intercept (0,-3)

y=-2x+-3

400

Write in slope intercept form. Identify slope and y-intercept.

-2x+y=1

y=2x+1

m=2

b= (0,1)

500

Write in slope intercept form. Identify slope and y-intercept. 

4x-7y=14

y=4/7x-2

m=4/7

b= (0,-2)

2.4 More Linear equation

100

Write an equation in point-slope form.

m=3/5; (-5,2)

y-2=3/5(x+5)

200

Write an equation in point-slope form.

m=-3; (7,-1)

y+1=-3(x-7)

300

Write an equation of line that passes:

(3,2) and (5,8)

y-2=3(x-3)

400

Write equation in standard form.

y=3/4x-5

3x-4y=20

500

Identify x and y intercepts.

3x+5y=15

x-interecpt: (5,0)

y-intercept:(0,3)

2.7 Absolute value functions

100

identify vertex and axis of symmetry.

y=-2lx+1l +3

vertex: (-1,3)

A.O.S: x=-1

200

identify vertex and axis of symmetry.

y=3lx-2l-4

vertex: (2,-4)

A.O.S: x=2

300

identify vertex and axis of symmetry.

y=-1/2lxl-1

vertex: (0,-1)

A.O.S: x=0

400

write an absolute value equation.

transalte 4 units down. reflect in the x-axis. axis of symmetry: x=-3

y=-lx+3l-4

500

write an absolute value equation.

reflect in the x-axis. vertical stretch factor of 5. translated 7 units up. 

y=-5lxl+7