Domain and Range
Interval Notation
Inequalities
Functions and Relations
Composite Functions
100
If R = {(1,1),(2,2),(3,3),(4,5)} is a relation then find its domain. {1,3,5} {1,2,5} {1,2,3,4} {1,2,3,5}
What is (1,2,3,4)
100
Graph on your boards x> -4
Lets see
100
< means less than or greater than
What is less than
100
True or False: Functions fail the vertical line test
What is False: Functions pass the vertical line test.
100
If f(x)=X^2 What is f(5)
What is 25
200
Is the list of coordinates a function or a relation (1,1)(1,2)(5,6)(4,7)
What is a Relation
200
Write -10
What is (-10,10)
200
Write graph the inequality X<-2
Lets see the graphs
200
Which relations below are functions? _________ Relation #1 { (-1,2), (-4,51), (1,2), (8,-51) } Relation #2 { (13,14), (13,5) , (16,7), (18,13) } Relation #3 { (3,90), (4,54), (6,71), (8, 90) }
What is #1 and #3
200
If f(x)=x^3 +x^2. What is the the value of f(-x)
What is f(-x)=-x^3 +x^2
300
Normally the domain refers to which type of variable? a. dependant (y) b. independent (x)
What is B. The independent x variable
300
True or False: greater than or equal to and less than or equal to use brackets for interval notation
What is True.
300
Graph the inequality all real numbers from - 23 to -4 , including - 23 but not including -4
lets see the graphs
300
Given the relation A = {(5,2), (7,4), (9,10), (x, 5)}. Which of the following values for x will make relation A a function?
What is any number besides, 5,7,9
300
f(x)=4x^2+7 and g(X)=5x. What is f(x)g(x)
What is 20X^3+35x
400
Alex states that the relation below is not a function. Lillian says that it is a function. Who is correct? Explain your reasoning. { (13,14), (12,5) , (16,7), (13, 14), (-2, 33), (13, 14) }
Who is Lillian. It is a function. This is tricky, although x's are repeated they go to the same y value
400
Write the Interval (-5, 17] as an inequality
-5
400
graph on the number all real numbers between 1 and 10, not including 1 or 10 Write as an interval
Lets see the graphs 1
400
Is the relation depicted in the chart below a function? X 0 1 3 5 3 9 Y 8 9 10 6 10 7
What is Yes
400
if f(x)=11x and g(x)=1+x. What is f(g(x))
What is f(g(x))=11+x
500
For the following relation to be a function, X cannot be what values? { (8, 11), (34,5), (6,17), (X ,22) }
What is 8,34,or 6.
500
Write x=/-7 x does not equal -7 in interval notation
(-infinity, -7)(-7, infinity)
500
Graph on the number line x =/5 x does not equal 5 Write this in interval notation
Lets see the graphs (-infinity,5)(5,infinity)
500
X -2 -1 0 1 2 3 Y 5 5 5 5 5 5
What is Yes. It is still 1:1. Each x has a specific y coordinate Bonus this graph is a horizontal or linear line?
500
If f(x)=x^3+5x and g(x)= x^2. What is f(g(x))
What is f(g(x)) = x^6 + 5x^2
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