Algebra 2 Chapter 2 Review

I

100

State whether the relation is a function.

{(1,2),(2,3),(3,5)(4,7),(5,11)}

Yes

200

x⁴(3x)²

9x⁶

300

f(x)=3x-4

g(x)=(x/2)-5

Find the function. 

f-g

(f-g)(x)=(5x/2)+1

400

5*4/2+3^(4-1)

37

500

f(x)=3x-4

g(x)=(x/2)-5

Find the function. 

f/g

(f/g)(x)=(3x-4)/(x/2-5)

Don't

100

Evaluate the expression.

-1(5+3)² -11

-75

200

State whether the relation is a function. 

{(1,-1),(2,-2),(3,-3)}

Yes

300

Find an equation for the inverse of the function.

f(x)=(2-x)/3

f^-1(x)=2-3x

400

f(x)=-3x-5

g(x)=4x-1

Evaluate the composite function. (g º f)(2)

-45

500

2³-(13+4)/(-3)²

-1

Want

100

State the domain and range of the function.

{(-1,-6),(5,8),(9,-1),(2,3)}

Domain: {-1,5,9,2}

Range: {-6,8,-1,3}

200

(u²v)³/v²

u⁶v

300

f(x)=3x-4

g(x)=(x/2)-5

Find the function. 

g-f

(g-f)(x)=(-5x/2)-1

400

The cost of enrollment at a community college is $120 plus $75 per credit, c, taken. Express the college costs as a function of c and find the cost when 12 credits are taken.

75c+120

12 credits = $1020

500

f(x)=-3x-5

g(x)=4x-1

Evaluate the composite function. (g º g)(-1)

-21

To Do

100

Evaluate the expression.

(11-5)²/(3*2)

6

200

f(x)=3x-4

g(x)=(x/2)-5

Find the function. 

f+g

(f+g)(x)=(7x/2)-9

300

Identify the transformation from f to g.

f(x)=x² 

g(x)=(x-2)²

Right 2 units

400

State whether the following is a function.

{(1,-1),(1,1),(2,-3)}

No

500

((p^-1q²)/p^-1)^-4((-p⁵q^-3)/(p^-3q^-1))^-3

-1/(p²⁴q²)

This

100

State the domain and range of the function.

{(-1,2),(0,6),(2,7),(4,-7)}

Domain: {-1,0,2,4}

Range: {2,6,7,-7}

200

Find the inverse of each function. 

f = {(-2,0),(-1,1),(0,0),(1,1),(2,0)}

f^-1 = {(0,-2),(1,-1),(0,0),(1,1),(0,2)}

300

State whether the following is a function.

{(1,1),(1,-1),(2,2),(2,-2)}

No

400

Find an equation for the inverse of the function.

f(x)=-2/3x+4

f^-1=-3/2x+6

500

f(x)=-3x-5

g(x)=4x-1

Evaluate the composite function. (f º g)(3)

-38