Domain and Range
Scientific Notation
Mixed Bag
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
Write 12,750,000 in scientific notaion
1.275 X 10^7
100
Give the domain and range (0,5) (2,8) (4,10) (6,20) (2,12)
domain 1,2,4,6 range 5,8,10,20,12
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 2.365 X 10^8 in standard form
236,500,000
200
Evaluate f(x) = 12-3x for f(1)
9
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
Write 3.5 X 10^-7 in standard form
.00000035
300
For the relation (10,2) (9,4) (8,6) (9,8) (10,10) give the domain and range and tell whether it is a function.
domain 10,9,8,10 range 2,4,6,8,10 not a relation
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
Simplify (8.0 x 10^5) x (9.0 x 10^4). Write in scientific notation.
7.2 x 10^10
400
Evaluate f(x) = 2x for f(1) f(2) and f(-6)
2, 4, -12
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
Simplify (9.1 x 10^-3) / (1.3 x 10^8)
7.0 x 10^-11
500
Evaluate f(-2), f(1/2), and f(0) for f(x) = -3x^2 + x
-14, 1/4, 0
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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