Function Notation
Sketch the graph of a relationship which is NOT considered a function.
Answers vary.
A linear function has a constant _______ .
Rate of change.
Ben helps Mr. Yantz on 3 days of the week. If the school year has 36 weeks, how many times will Ben be late to class?
108 days.
Shively's son's name is: _____ (spelling counts).
Erik
If f(x) = 5x - 2 , find f(-3) .
f(-3) = -17
Determine the slope between the points ( 1 , 5 ) and ( 6 , 2 ) .
m = (-3/5) = -0.6
x | y
0 | -3
1 | 1
2 | 3
Non-linear, because there is no constant rate of change.
Shively leaves you with a stranger twice each month, except June. How many strangers will you be left with during the school year?
19 strangers.
Shively's dog's name is:
Indiana
Write a function f(n) which represents the arithmetic sequence an = 8 - 3(n - 1) .
f(n) = -3n + 11
Write the equation of a line through the points ( 4 , 7 ) and ( -2 , 4 ) .
y = (1/2)x + 5
x | y
0 | 7
5 | 6
-10 | 9
Linear, m = (-1/5) = -0.2
Brandon has watched 120 minutes of Family Guy during class so far. If he watches 30 minutes of the show each class, write a function F(c) that represents the minutes of Family Guy watched, F, given the number of classes, c.
F(c) = 30c + 120
How many planets of the solar system would fit in the space between the Earth and the Moon?
All of them side-by-side would still fit in between Earth and the moon.
If f(x) = 10 - (3/4)x , when is f(x) = 16 ?
When x = -8 .
Determine the x and y-intercepts of the function f(x) = 8 - (1/4)x . Write your answer using coordinate notation.
y-intercept: ( 0 , 8 )
x-intercept: ( 32 , 0 )
x | y
0.5 | 0
10 | 19
(-1/4) | -1.5Linear, m = 2
m = 9450 / 9 = 1050 passes per week.
The #1 hip-hop album of all time
Illmatic - Nas (1994)
If f(x) = x2 + 2x + (1/x) , what is f(3) ?
f(3) = 17 (1/3)
Function f(x) = 2x - 1 . Function g(x) is linear and contains the points ( 0 , -2) and ( 3 , 7 ). Which statement below is true?
a) the slope of f > the slope of g
b) the y-intercept of f > the y-intercept of g
c) f(4) > g(4)
Statement B is true.
Write a short story ( at least two sentences ) that describes a linear relationship. Include at least two numbers in your story.
Answers vary.
Shively gives Jakai a huge packet of equations to solve. After 1 day, there are 465 equations remaining. After 10 days, there are just 150 equations remaining unsolved.
A) How many equations did Shively give Jakai?
B) How many days will it take for Jakai to finish every equation?
A) 500
B) Sometime during the 15 days, if she doesn't take any days off.
People often say that something is "the best thing since sliced bread." What was the best thing before sliced bread?
Wrapped bread.