Test Review

Domain and Range

100

What are the domain and range of:

f(x) = x - 6

D: -infinity, infinity

R: -infinity, infinity

200

What is the domain and range of this graph?

depends

300

What is the domain and range of:
f(x) = x^1/2

D: -infinity, infinity

R: 0, infinity

400

What is the domain and range of:

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

D: ]-infinity, infinity[

R: ]-infinity, 7]

500

What is the domain and range of:

f(x) = log(x)

Domain: ]0, infinity[

Range: ]-infinity, infinity[

Zeros of functions

100

Find the root(s) of the function:

f(x) = x-2

x = 2

200

Find the roots of the function:

f(x) = x²-9

x = 3, -3

300

Find the roots of the functions:

f(x) = x²-7x+12

x = 3, 4

400

Find the roots of the function:

f(x) = 2x²+x-1

x = 1/2, -1

500

Find the roots of the function:

f(x) = x²+3x-5

(-3 +/- sqrt(29))/2

Logarithms

100

What is log₂2?

1

200

Find the value: log₅(1/25)

-2

300

Combine these logarithms:

log₃x+log₃y-log₃z

log₃(xy/z)

400

Separate these logarithms:

log₂(4x³y²)

2+3log₂x+2log₂y

500

Separate these logarithms:

log(x²y^1/3/(4(z+2)))

2log(x)+1/3log(y)-log(4)-log(z+2)