Relations & Functions
What does Domain represent and what does Range represent?
x-values and y-values
What is the slope of f(x) = |x|
1
what does an-1 mean in the recursive formula?
The previous term
What does k equal in direct/inverse variations?
slope
How many Harry Potter movies are there?
8
True or false: every relation is a function.
False
What does a, h, and k represent for the absolute value function equation?
a = slope
h = horizontal movement
k = vertical movement
Find the recursive formula for the sequence
−17, −9, −1, 7, 15, . . . .
an = an-1 + 8
If y varies inversely with x and y = 14 when x = 3, then write the function rule describing the variation and find y when x is 7.
y = 42/x
y = 6
In 1863, what memorable speech did Abraham Lincoln give during the dedication of the Soldiers’ National Cemetery?
The Gettysburg Address
Create a mapping diagram for the relation. Is this relation a function?
{(2, 2), (3, 1), (5, 1), (7, 2)}
Yes
Describe the translation of the graph of y = |x| that produces the graph of
f(x) = |x + 3|
The graph is translated 3 units left.
Determine if this sequence is arithmetic. If so, state the common difference and provide the next 3 terms.
1, 0.5, 0, -0.5
Yes
d= -0.5
-1, -1.5, -2
If y varies inversely with x and y = 14 when x = 3, then state the constant of variation.
k = xy
3(14) = 42
What is the only food that can never go bad?
Honey
Does this relation represent a function?
{(2,4),(5,9),(8,2),(3,9)}
Yes
Write a function rule for the graph of f(x) = |x| translated 2 units right and 5 units down.
f(x) = |x − 2| − 5
Write an explicit formula for this sequence.
14, 24, 34, 44, 54
an = 10n + 4
If y is directly proportional to x and y = 12 when x = 10, write the function rule and find y when x is 25.
y = (6/5)x
y = 30
Other than water, what is the most consumed beverage in the world?
tea
When graphing what test helps determine if a relation is a function or not?
Vertical Line Test
What is the vertex of the graph of f(x) = |x + 7| − 4?
f(x) = |x − h| + k = |x − (−7)| + (−4)
The vertex is (h, k), which is (−7, −4).
Generate the next 4 terms of the sequence using the given formula.
a1= 17
an = 10n + 7
27, 37, 47, 57
If y is directly proportional to x and y = 12 when x = 10, state the constant of variation (slope)
k = 6/5
How many kids does Mr. Huether have?
1 (5 weeks)