Download Properties of a Grah

Y-intercept: Beginning value
Where graph crosses y-axis
3; The height of the ball at 0 seconds
X-intercept, Zeros, Break-even point:
Where graph crosses x-axis
-1 second and 3 seconds
f(2) : X-value is 2, find the y value
3 feet
f(x) = 4: y value is 4 find the x value
1 second
Increasing: The x-values where the graph is going up
x < 1 second
Decreasing: The y-value where the graph is going down
x >1 second
Maximum: ( , )
(1,4)
Minimum: ( , )
None
Height of a Ball
Y-intercept
Profit from Sally’s
Lemonade Stand
-4; She starts owing $4
Find Break-even point:
2 glasses of lemonade
2 glasses of lemonade
Find and interpret f(5) :
$6; She makes 6$ with 5
glasses sold
Profit ($)
X-intercept
Find and interpret f(x) = 8:
6; She makes $8 selling 6
Glasses.
Increasing:
Always
Solve by the graph: 2x – 4 = 10
7
Number of Glasses Sold
Initial Value:
They lose $5000 if ticket price is $0
Break-even point:
Find and interpret f(2) :
They make ~$1800 with a
Ticket price of $2
Find and interpret f(x) = 40:
They make $4000 with a ticket
price
of $3.50 or $6.50
Increasing:
Profit (Hundred’s of Dollars)
They start making money with
Ticket price of $1.50
x < $5.
Find and interpret the maximum:
Projected Profit of
Concert Based on Ticket
Price
Cost of Ticket ($)
(5,50); Maximum profit is $5000 when ticket price is $5
When is -4x2 – 40x – 50 = 20?
At x = $2.10 and $7.8
After how many miles will the companies be
the same?
Cost of Cab Rides
2 miles
B is a better value until 2 miles. After
two miles, A is a better value
Find and interpret the y-intercept of A(x)
and what does it mean?
$5. Company A charges $5 for 0 miles
Fare ($)
Explain when each company is a better value.
Find and Interpret B(2)
$7 Company B charges $7 for 2 miles
When is 3x + 1 = 4?
1 mile
When is 3x + 1 = x + 5 2 miles
Miles
Stories
Stair Stories Climbed by Two Climbers
Time (minutes)
Find and Intrepret Y-intercept
Find Break-even point:
X-intercept
Find and interpret f(5) :
Find and interpret f(x) = 6:
Solve by the table: 2x – 2 = 4
Write the NEXT-NOW equation
Profit of Selling Popcorn
Bags
x
0
1
2
3
4
5
Profit
L1
-2
0
2
4
6
8
Y1=2x - 2
Y-intercept
Profit of Selling Pompoms
Find and interpret Break-even point:
# of Pompoms Profit
Find and interpret zeros
Find and interpret f(4) :
Find and interpret f(x) = -4:
Solve by the graph: 3x – 7 = 2
x
-1
0
1
2
3
4
'L1
-10
-7
-4
-1
2
5
Y = 3x - 7
After how many miles will the companies be
Delivery Charges of 2 Companies
the same?
Explain when each company is a better value.
A(x)
Find and interpret the y-intercept of A(x)
and what does it mean?
Find and Interpret B(2)
When is 2x + 3 = 2.5x + 1
When is 2x + 3 = 13?
Write the NEXT-NOW equation for B(x)
x
0
1
2
3
4
5
6
'L1
3
5
7
9
11
13
15
B(x)
"L2
1
3.5
6
8.5
11
13.5
16
A(x) = 2x + 3
B(x) = 2.5x + 1
Starting Value
Rate
Increase or
Decrease
Decimal multiply by
NEXT=NOW
Statement
$20,000
5% increase
100+5 = 105% =1.05
Or 1(20,000) + .05(20,000)
Next=Now*1.05
starting at 20,00
$20,000
5 % decrease
$100
4% interest
95,000
3.5% increase
1st 4
Numbers
8,6,4.5,
Next = Now
*1.095 starting
at $1000
12,20,100/3
x
15%
commission