Unit 1 Review

simplifying numbers

100

(2+5i)+(4-3i)

6+2i

200

i^-12

1

300

√32x²

4lxl√2

400

∛128a¹³b⁶

4a⁴b²∛2a

500

⁵√w⁶x⁸y¹⁰z¹³

wxy²z^{2  5}√yx³z³

parabolas

100

-b/2a

what is the equation for the axis of symmetry

200

f(x)=x²-2x+1 

Find axis of Symmetry

AOS= 1

300

f(x)=2x²-8x-5

find zeros and axis of symmetry

AOS= 2

Zeros= (4±√26)/2

400

graph the function

f(x)=x²+4x-2

on slides

500

f(x)=-x²+6x+2

graph the funtion and make not of its zeros, maximum or minimum, and AOS

on slides

Zeros= 3±√11

Maximum= (3,11)

AoS=3

domain and range

100

f(x)=x²=4

find domain

D:(-∞,∞)

200

f(x)=(x+1)/x-5

find domain

D: (-∞,5)U(5,∞)

300

f(x)=(3x²+4x)/x+4

find domain 

D:(-∞,-4)U(-4,∞)

400

f(x)=(√x+4)/x-2

find domain 

D:[ -4,2)U(2,∞

500

f(x)=(x-2)²/√4x

find domain

D:(0,∞)

evaluated inputs

100

-4x+3 if x < 3

3x²+1 if x > 12 

Solve for when f(-7) and f(14)

-4(-7)+3= 31

3(14)²+1= 589

200

-15 if x>-5

√x+6 if -5</=x<=10

2/x +8 if x > 10

solve for when f(-17) and f(70)

f(-17)=-15

f(70)= 281/35 or 8.029

300

4x+3 if x<3

-x³ if 3</=x</=8

3x²+1 if x>12

Solve for when f(-7) and f(14)

f(-7)= 31

f(14)= 589

400

-4x+3 if x <3

-x³ if 3</=x</=8

3x²+1 if x>12

Solve for when f(-30) f (30)

123= f(-30)

2701=f(30

500

2x²+9 if x<7

x³+4 if 7</=x</=10

x/2-12x if x>10

solve for when f(9), f(-11), and f(10)

f(9)=171

f(-11)=-275/2 or -137.5

f(10)=1004

function's symmetry

100

y=x²

f(-x)=f(x)

y-axis symmetry (even)

200

f(x)=x²+6

f(-x)=f(x)

y-axis symmetry (even)

300

f(x)=x⁴-29x²+100

f(-x)=f(x)

y-axis symmetry (even)

400

f(x)=x³-8x

-f(x)=f(-x)

Origin symmetry (odd)

500

f(x)=x⁴+3x²

Neither