Unit 4 Honors Math 1 Review

Operations on Functions

100

f(x)=x²-18x+80

g(x)=x-10

Find: (f+g)(x)

x²-17x+70

200

f(x)=x²-5x-36

g(x)=x-9

Find: (f-g)(x)

x²-6x-27

300

f(x)=6x-16

g(x)=-x+8

Find:(f-g)(x)

7x-24

400

f(x)=5x³-2x²+3x-16,  g(x)=x³+2x²-2x-10

Find: 2(g(x) + f(x))

12x³+2x-52

500

f(x)=7x³-x²+19x+37,  g(x)=x⁴-11x³+10x²-2x+55

Find: (f-g)(x))

-x⁴+18x³-11x²+17x-18

Composition of Functions

100

f(x)=x-4

g(x)=3x²+6x+9

Find: (f∘g)(x)

3x²+6x+5

200

f(x)=x²+x+8

g(x)=3x+5

Find: g(f(x))

3x²+3x+29

300

f(x)=-x-5

g(x)=x²-6x+13

Find: (f∘g)(x)

-x²+6x-18

400

f(x)=-4x-6

g(x)=5x²-2x+7

Find: f(g(x))

-20x²+8x-34

500

f(x)=-5x-12

g(x)=-4x²+13x-2

Find: (f∘g)(x)

20x²-65x-2

Evaluate Composition of Functions

100

f(x)=x²+5x-10

g(x)=4x-2

Find: f(g(1))

4

200

f(x)=2x-8

g(x)=x²+7x+9

Find: (g∘f)(2)

-3

300

f(x)=2x-4

g(x)=2x²+4x-8

Find: f(g(-4))

12

400

f(x)=3x²-2x+2

g(x)=-2x-8

Find: (f∘g)(-5)

10

500

f(x)=2x²+2x-3

g(x)=-5x+3

Find: (g∘f)(0)

18

Function or Not? &Domain and Range

100

Is the following relation a function or not? Explain.

{(3,2),(-1,0),(0,-1)}

Yes, Function

200

Name all types of Relations.

List, Table, Graph and Mapping

300

Is the following relation a function or not? Explain.

{(3,2),(-1,0),(0,-1),(1,1),(-1,6)}

No, -1 repeats in the Domain

400

State the Domain for the following list:

{(2,5),(-10,10),(10,-1),(2,5),(-6,2)}

D: {-10,-6,2,10}

500

Is the following relation a function or not? AND State the Range.

{(3,2),(-1,0),(0,-1),(-1,0),(5,5),(-3,-6)}

Yes, Function

R: {-3,-1,0,3,5}

Sequences

100

Describe the pattern for:

2,4,8,64,4096

Previous number squared.

200

Find the common difference.

20,13,6,-1,-8

d=-7

300

State the arithmetic sequence rule.

A_n=A₁+d(n-1)

400

Find the third term given:

A(n)=3+(4)(n-1)

A(3)=11

500

Given the sequence -11,-8,-5...

Find the 37th number in the sequence

=97