Everything we've learned in the last few days

End Behavior

100

What is the end behavior of 3(2)^x?

As x→∞, y→∞

As x→-∞, y→0

200

What is the end behavior of 3(2)^(-x^2)?

As x→∞, y→0

As x→-∞, y→0

300

What is the end behavior of (1/2)^(-x^3)?

As x→∞, y→∞

As x→-∞, y→0

500

What is the end behavior of 5(1/3)^log[2x-2]?

X may not be able to approach inf/-inf in this problem.

As x→∞, y→0

As x→1, y→∞

800

What is the end behavior of:

4(1/3)^(log[x-2])?

X may not be able to approach inf/-inf in this problem.

As x→2, y→∞

As x→∞, y→0

Avg Rate of Change

100

What is the average rate of change of x^2 from [-2,3]?

1

200

What is the average rate of change of -2x^2+3x+7 from [1,4]?

7

300

What is the average rate of change of x^2-2x-2 from [1,6]?

5

500

What is the average rate of change of x^3-4x from [-1,6]?

27

800

What is the average rate of change of 2log(x)^(2)+3log(x)+7 from [1,4]

5/9

Binomial operations

100

(x+2)+(3x+5)

(4x+7)

200

2[(4x+2)+(2x+3)]

12x+10

300

3x[(4x+5)(2x+3)]

18x^2+24

500

6x[(3x+2)+(4x+3)]

42x^2+30x

800

3x^2[(6x^4+3x^2)+(x^3+2x^2)]

18x^6+3x^5+15x^4

Factoring

100

x^2+10x+25

(x-5)^2

200

2x^2+16x+30

2(x+3)(x+5)

300

4x^2+11x+6

(4x+3)(x+2)

500

12x^2+24x+9

(6x+3)(2x+3)

800

8x^2+54x+36

(2x+12)(4x+3)