2. Warm-Up:
5 Most Missed from Test 35
Vers. 1;
39%
4
4
V.2;
34%
10. The final part of your landscaping budget went to
building a fish pond and stocking it with lobsters. While
shipping the lobsters, 30% of them died. Now you only
have 14 lobsters left. How many lobsters did you order?
A. 15 B. 20 C. 25 D. 30 E. 40
1. A 32 in. now TV costs $325 after a 13% discount.
What was the cost of the TV before the discount?
A. $358.76 B. $362.49 C. $367.85 D. $373.56 E. $388.76
3. 3
V2
22%
2. A 45 in. TV costs $ 550 after a 60% markup. What is
the wholesale price of the TV?
A. $880.00 B. $220.00 C. $330.00 D. $392.86 E. $343.75
2
V.2;
22%
8. For a science project you used 98 toothpicks, or 28%
of all the toothpicks you own. How many toothpicks do
you have left? A. 350 B. 327 C. 252 D. 197 E. 282
1
V.3;
20%
9. Your uncle Mario is hired to plant the new flowers
and trees. His wage is $6.25/hr. and the planting took 32
hours. What percent of your $8000 budget did you pay
Uncle Mario? A) 2.5% B) .25% C) 12% D) 112.5% E) 25%
5. The Geometry Theorem:
Through any two points in a plane,
there can be only one line.
(Every equation has only one line, every line
has only one equation)
11. The Cost of Renting a Backhoe
y =20x + 50
$50 rental fee plus $20 per hour.
The Process
B. Which one is the independent? The dependent?
Cost, # of hours
12. What is a Function?
A function is a relation that assigns each x-value only one y-value.
What does that mean? It means, in order for the relation to be
considered a function, each domain (x) value can point or be
associated with only one range (y) value.
There are two ways to see if a relation is a function:
1. Mappings
2. Vertical Line Test
……….
14. Mapping to Determine a Function
Create a mapping of the following relation and state
whether or not it is a function.
{(-1,2) ; (1, 2) ; (5, 3) ; (6, 8)}
Notice that even though there
are two 2’s in the range, you
only list the 2 once.
-1
1
5
6
2
3
8
This relation is a function
because each x-value maps to
only one y-value. It is still a
function if two x-values go to
the same y-value.
15. Examples of the Vertical Line Test
function
function
Not a function
Not a function
……….
16. Interpreting the Graph
H
e
i
g
h
t
H
e
i
g
h
t
P
e
o
p
l
e
A. Cost of a laptop, past 10 years B. Drag racing before hitting tree
C. World Population, last 700 years D. Person's height during lifetime
E. 3-point shot F. Running up, then down a hill
C
o
s
t
S
p
e
e
d
S
p
e
e
d
17. 3. Graph the following relations and use the vertical line test to see
if the relation is a function. Connect the pairs in the given order.
a. {(-3,-3) ; (0, 6) ; (3, -3)}
b. {(0,6) ; (3, 3) ; (0, 0)}
2. Use a mapping to see if the following relations are functions:
a. {(-4,-1) ; (-2, 2) ; (3, 1) ; (4, 2)}
b. {(0,-6) ; (1, 2) ; (7, -4) ; (1, 4)}
18. Answers:
1a. Domain: {-4, -2, 3, 4} Range: {-2, 2, 1}
1b. Domain: {0, 1, 7} Range: {-6, 2, -4, 4}
3a. 3b.
2a. 2b.
Function Not a
Function
-4
-2
3
4
-1
2
1
0
1
7
-6
2
-4
4
Not a
Function