math college algabre

Homework, Week #2 – over Lessons 2 and 3, and Workshop 2 Due at the start of class 9/5/14 Name: ______________________

As you do these problems, show your work clearly!

#1. Use interval notation to represent the two sets of numbers described below.

a) All real numbers greater than or equal to -3 b) All positive numbers less than or equal to 1.

#2. Graph each set below on its own number line.

a)

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−2,1( ]∪ 2,∞( ) b)

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x |{ − 2 ≤ x < 6 2 1 6

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} .

#3. The set

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3,5( ) contains an infinite number of numbers in it. List any two numbers that are elements of this set.

#4. Consider the set “All real numbers except 1 and 3.” Express this set using interval notation.

#5. Solve the equations below; express your answers using set notation.

a)

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y2 + 8 y + 15 = 0 b)

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x2 −2x −10 = 0

#6. Solve the equations below; express your answers using set notation.

a)

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x2 −4x − 45 = 0 b)

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y3 −5y2 + 3y = 0

c)

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x−2( ) x + 3( ) = 14 d)

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q3 + 2q2 + 5q + 10 = 0

#7. Four relations are descibed below. In each case, circle whether or not it is a function, and whether or not it is arbitrary.

•1

• •

• 3

4

2 • 

• 

a) a function ? Yes / No

arbitrary ? Yes / No

b) { (T, Triangle), (P, Pentagon), (R, Rhombus), (T, Trapezoid), (S, Square), … (letter, class of polygon) }

a function ? Yes / No

arbitrary ? Yes / No

c) a function ? Yes / No

arbitrary ? Yes / No

inputs

football ping pong ball

putter ice skates

Canada

outputs

Spain China Kenya

• 

• 

d) { (math, 4), (is, 2), (fun, 3), (yeah, 4), (right, 5), … (word, number of letters) }

a function ? Yes / No

arbitrary ? Yes / No