Different Representations Of Functions

Linear Equations

100

y = 3x − 6

y=3x-6, x=R

200

y/2 = 3

y=6

300

5x = 6

x=6/5

400

y + 2x − 2 = 0

y=-2x+2, x=R

500

y − 2 = 3(x + 1)

y=3x+5, x=R

System of Equations

100

y + 4x	=	8
5x + 2y	=	13

(x, y) = (1,4)

200

2x + 2y	=	6
12	=	2y - x

(x, y) = (- 2, 5)

300

10x + 7y	=	49
10y - x	=	70

(x, y) = (0, 7)

400

2x + 9y=0 3x + 5y=17

(x, y) = (9, - 2)

500

8x−5y+16=01x+3y−17=0

x=12,y=4x=12,y=4.

Inequalities

100

solve for x-12>=8

x>=20

200

m+19>56

m>37

300

What is the solution for 3a+6<=4a

6<=a

400

Solve for -3/7r<21

r>-49

500

Simplify ths inequality: -10<-5

-2<-1

Quadratic Equations

100

x²=49

x=-7,7

200

2x²-11x+14=0

x=2, x=7/2

300

3x²-12x+4=2

x=6-(square root)30/3, x=6+(square root)30/3

400

3x²+4x+1=0

x= -1/3, -1

500

x²+5x+4=0

x= -1, -4

Exponential Funtions

100

Which of the following are exponential functions?

a. f(x)=3e^-2x

b. g(x)=2^x/2

d. g(x)=15/7^x

200

2^x=32

x=5

300

5^x=1/125

-3

400

(1/3)^2x=243

-5/2

500

45=5^3x

0.7884