Slopes and Intercepts
Tables and Graphing
Function Form
Real - Life functions
Grab-bag
100
What is the y-intercept of this graph?
1
100
Complete this table Table for the function: y = 4x - 3
x_|_y
0 | _
1 | _
2 | _
-3, 1, 5
100
Create a word problem that incorporates these two functions:
f(x) = 30 and g(x) = 2x+ 18.
extra points for creativity/humor
100
Justin works at Awty Plus 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 $$$
100
y = 10x - 13
What is the y-intercept for this function equation?
-13
200
Which is a steeper slope?
m = -3/4 or m = 5/8
-3/4
200
Complete this table Table for the function:
f(x) = -2x + 3
x_|_f(x)
-2 | _
0 | _
2 | _
7, 3, -1
200
Describe how the two functions are different. f(x) = x and g(x) = -5x
g(x) has a negative and steeper slope.
200
Justin works at Awty Plus 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 hour ?
$20
200
When graphing an equation that is 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 = -x - 3
slope = -1
300
If you have an equation written in standard form
like this:
2x + 6y = 12
How should you begin to graph it?
substitute in a zero for x
and substitute in a zero for y.
300
Describe how the two functions are different. f(x) = x and g(x) = x + 4
g(x) has a different y-intercept.
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 for to show how your total price (y) is a function of how many classes you take (x) in one month.
total price = 10 x (num. of classes) + 20
y = 10x + 20
300
Rewrite Ax + By = C as a function of x.
Hint: isolate y
y = (-a/b)x + (c/b)
400
What is the slope of this line?
slope = 2
400
In your calculator, graph the two functions y = 30 and y = 2x+ 18.
Using the "table" feature, at what point do these two line intersect?
(6, 30)
400
Describe how the two functions are different. f(x) = x and g(x) = 0.5x
g(x) is less steep than f(x)
400
Tell a story related to this graph.
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
On a coordinate plane, you have a point at (1,1).
Your next point is at (1,4).
What is the slope of this line?
Undefined, there is no slope.
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
f(x) = 6x+9. What is the value of x if f(x) = 3?
What is x = -1
500
There are two cell phone plans for texting. Each one's 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.
horizontal line
