No Calc Review (Acc Alg 2 2023)

Evaluate

100

4^5/2

32

200

(-8)^4/3

16

300

log₃81

4

400

log₂(1/8)

-3

500

log₉3

1/2

Domain

100

What is the domain of the function?

f(x)=2^x-1+2

all real numbers

(-infinity,infinity)

200

What is the domain of the function?

f(x)=log(x-3)+2

(3,infinity)

300

What is the domain of the function?

f(x)=-2log(x+1)

(-1, infinity)

400

What is the domain of the function?

f(x)= 1/(x-3)  +2

(-infinity,3) U (3,infinity)

500

What is the domain of the function?

f(x)= -1/(x²+3x+2)

(-infinity,-2)U(-2,-1)U(-1,infinity)

Range

100

What is the range of the function?

f(x)=log(x-2)+3

all real numbers

(-infinity,infinity)

200

What is the range of the function?

f(x)=2^x-2+3

(3,infinity)

300

What is the range of the function?

f(x)=-(1/2)^x+2

(-infinity, 0)

400

What is the range of the function?

f(x)=1/(x+2)  -3

(-infinity, -3)U(-3, infinity)

500

What is the range of the function/

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

(-infinity,5)U(5,infinity)

Asymptotes

100

Name any asymptote(s):

f(x)=2^x+2 - 3

horizontal y=-3

200

Name any asymptote(s):

f(x)=-3^x+4 -7 

horizontal y=-7

300

Name any asymptote(s):

f(x)=log₂(x-4) +3

vertical x=4

400

Name any asymptote(s):

f(x)=-log(x+7)+2

vertical x=-7

500

Name any asymptote(s):

f(x)= 1/(x-4) + 3

horizontal y=3

vertical x=4

Bonus!

100

Evaluate:

(-8)^3/2

no solution

undefined

200

Evaluate:

log₆₄4

1/3

300

Find the range:

f(x)=-(1/2)^x+2+7

(-infinity, 7)

400

Find the domain:

f(x)=-log(x-3)+2

(3, infinity)

500

Name any asymptote(s):

f(x)= 1/(x² - 7x +10) - 4

horizontal y = -4

vertical x=5 and x=2