Slopes and Intercepts
Tables and Graphing
Functions?
Real - Life functions
Grab-bag
100
What is the y-intercept of this graph?
1 or (0,1)
100
Complete this table for the function: y = 4x - 3
x_|_y
0 | _
1 | _
2 | _
y= -3, 1,5
(0,-3), (1,1), and (2,5)
100
Linear Function, Nonlinear Function, or NOT a function?
NONLINEAR Function
100
Jimmy works at Bestbuy and gets paid an hourly rate, and also gets paid a bonus.
If the equation y = 20x + 15 represents the amount of money he can earn for a week, then what does the variable y stand for ?
Amount of money he earned that week $$$
100
y = 10x - 13
What is the y-intercept for this function equation?
-13
200
____ is the rate of change.
Slope or M
200
Complete this table for the function:y = -2x + 3
x_|_y
-2 | _
0 | _
2 | _
y= 7, 3, and -1
or (-2,7), (0,3) and (2,-1)
200
What is the name of the method used to determine whether a graph is a function or not?
Vertical Line Test
200
Jimmy works at Bestbuy and gets paid an hourly rate, and also gets paid a bonus.
If the equation y = 20x + 15 represents the amount of money he can earn for a week, then how much does he get paid per month ?
$95
200
When graphing an equation in slope-intercept form,
(y=mx+b), where do you start?
With the b (y-intercept)
300
What is the slope of this line?
y = -5/3x - 3
slope = -5/3
300
If you have an equation written in standard form
like this: 2x + 6y = 12
How would you complete the table?
x| 1 _ 7
y|_ .68 _
What is:
x| 1 4 7
y| 1.67 .68 -.31
or (1,1.67), (4,.68), and (7,-.31)
300
Linear Function, Nonlinear Function, or NOT a function?
NONLinear Function
300
Your Gym membership charges 20 dollars a month, plus a fee of 10 dollar fee each time you take a kickboxing class.
Write an equation to show how your total price (y) is a function of how many classes you take (x).
total price = 10 x (num. of classes) + 20
y = 10x + 20
300
Your weight is a function of how many bags of Cheetos you eat.
Which variable is the -input-?
How many bags of cheetos you eat.
400
What is the slope of this line?
slope = 2 or 2/1
400
Draw a graph for this equation.
y= -2x + 3
You may graph it any way you know how.
400
Linear Function, Nonlinear Function, or NOT a function?
2x - 3y = 18
LINEAR FUNCTION
400
Describe a graph that realistically shows how speed is a function of time for a car driving home stuck in rush-hour traffic on I-495.
Graph would show an inconsistent rate of speed over time.
400
A candle is burning. The height of the candle
is a function of the time the candle spends burning.
Is the slope of this function positive, negative, zero, or undefined?
NEGATIVE
500
How would you write the following in slope intercept form, standard form, and point slope form using the following table?
x|y
5|9
10|24
Hint: the slope intercept form was on one of your note sheets
y=3x-6
15x-5y-30
y-9=3(x-5) or y-24=3(x-10)
500
Look at this table:
x_|_y
0 | 8
1 | 6
2 | 4
Is the slope negative, positive, zero, or undefined? How do you know?
Negative. m = -2
500
Make a table that shows an example of something that is NOT A FUNCTION
500
There are two cell phone plans for texting. Each plan can be modeled with an equation where x represents the number of texts over your limit, and y is the total price.
Plan A: y = 0.25x + 17 Plan B: y = 0.15x + 25
Plan B is cheaper BY HOW MUCH if you go 100 texts over your limit?
$2.00
500
Draw a graph that shows how money is a function of time(hours) for somebody babysitting, if they get paid a flat $50 for the evening.
horizontalline
