3-1: Relations and Functions
3-2: Linear Functions
3-3: Transformations
3-4: Arithmetic Sequences
3-5: Scatter Plots/Trend Lines
100
We learned at the start of this unit you can't make apple juice from oranges (not a function).
Random Number Fact: How much orange juice do you get on average from a single orange? You can answer in cups or milliliters, closest to the exact answer earns points!
1/3 Cup or 75 Milliliters
100
What is the value of f(7) for the function f(x) = 3x - 4?
x = 17
100
How does the transformation g(x) = f(x) - 5 change the graph of the original function f(x)?
It shifts the graph down 5 units
100
Is the following sequence an arithmetic sequence? If so, state the common difference:
78, 71, 64, 57, 50,...
Yes, common difference is -7
100
Do variable 1 and variable 2 have positive, negative or no correlation?
Positive correlation
200
What is the domain of the following relation?
{(1,2), (5, 8), (12, 17),(5, 18), (3,1)}
Domain: {1,3,5,12}
200
Its November, and that means Thanksgiving is coming in just a few more weeks!
Random Number Fact: How much did the heaviest turkey every recorded weigh? (in pounds). Closest to the correct answer earns points!
86 lbs
200
The green line below is the graph of f(x). Write the equation of the blue line g(x) that results from translating the graph 4 units right.
(Hint: Use g(x) = a f(x-h) + k notation)
g(x) = f(x - 4)
200
What is the next term in the sequence:
9, 22, 35, 48, 61,...
74
200
Does height and exam scores have positive, negative or no correlation?
No correlation
300
Is the following relation a function? If so, is it a one to one or many to one function?
{(1,7), (3, 5), (5, 8), (3, 2), (7, 1)}
Not a Function
300
Graph the function f(x) = -3x + 4
See graph on promethean board
300
Random Number Fact: In what year was the first thanksgiving celebrated?
Closest to the correct answer earns points for their team!
1621
300
Write the explicit formula for the following arithmetic sequence:
2, 9, 16, 23, 30,...
an= 2 + (n-1)*7
300
Write an equation for the trend line graphed below:
Something close to
y = (-1/2)x + 27
400
Is the following graph a function? If so, is it a many to one, or one to one function?
Many to one function
400
Mr. E is baking cookies. He has already made 15 cookies, and can bake 20 more cookies every 30 minutes. Write a linear function to represent this scenario.
f(x) = (2/3)x + 15
x represents minutes
f(x) represents total cookies baked
400
Given f(x) = 3x + 4, write the equation for
g(x) = 3f(x) and state the slope and y intercept:
g(x) = 9x + 12
Slope = 9
Y-intercept = 12
400
Random Number Fact: Each year, how many turkeys do Americans consume in total on Thanksgiving?
Closest guess to the correct answer earns points for their team!
45 million
400
The equation for the trend line below is y = 10x + 100, where x represents temperature in degrees Celsius and y represents ice cream sales in dollars. Using this information, how much money would you expect to make selling ice cream on a 20 degree day?
300 dollars
500
State the range and domain of the function. Then tell if it is a relation or a function:
Domain: {7, 10,20,61}
Range: {3, 8, 9, 14, 57}
Not a function
500
Write a function f(x) = mx + b for the following table:
f(x) = 2x + 1
500
Write the equation for the function g(x) = f(x+3) if the original function f(x) = 2x + 1. Then describe how the graph g(x) differs from f(x).
g(x) = 2(x+3) + 1
g(x) = 2x + 6 + 1
g(x) = 2x + 7
g(x) is translated 3 units left from f(x)
500
Write the recursive formula for the following arithmetic sequence:
46, 41, 36, 31, 26,...
a1=46
an= an-1 - 5
500
What is sign language for the letter P?
