Show:
Relations
Domain
Range
Graphs
Functions
100
Is the relation "is the mother of" transitive?
Nope
100
Find the domain of f(x) = 2/(x-3).
{xeR| x ≠ 3}
100
What is the range of j(x) = x2-2x-3?
{y ∈R| y ≥-4}
100
Send a member of your team to sketch G(x) = 1/(x-2) on the board.
Does it look correct?
100
Find f(4) if f(x) = x2+3x-7
21
200
Is the relation "sits next to in algebra" reflexive?
No
200
What is the domain of g(x)= x2-x-12?
{x∈R}
200
Find the range of f(x) = 2/(x-3).
{y∈R| y ≠ 0}
200
Sketch H(x) = 3-x.
Is it right?
200
For what value(s) of x does g(x) = 3, if g(x) = x2-6.
3 or -3
300
Is the relation "is the father of" one to one, many to one, one to many, or many to many?
one to many
300
What is the domain of g(x)= 1/(x2-9x+20)?
{x∈R| x ≠4 and x ≠5}
300
Find the range of m(x) = 9 + √(x+7)
{y∈R| y ≥ 9}
300
Sketch a graph of F(x) = (x+1)/(3-2x).
Does it appear to be correct?
300
Find f(g(5)) if f(x) = x+8 and g(x) = 2x2-3x-9.
34
400
Define an equivalence relation.
It is a relation that is reflexive, symmetric, and transitive.
400
Find the domain of h(x) = 9 + √(x+7).
{x∈R|x≥-7}
400
Find the range of b(x) = -3/(x2-2x-24).
{y ∈R| y <0 or y ≥ 3/25}
400
Sketch a graph of N(x) = 3/|3x-4|.
How about this one?
400
Daily Double: Name any three mathematicians.
Results may vary.