Summer Trivia
Unit 1 - Sequences
Unit 2 - Features of Functions
Unit 3 - Rational Functions
Unit 4 - Exponential Functions
Unit 5 - Transformations
100
When was the Declaration of Independence passed?
July 4, 1776
100
Which is not an arithmetic sequence?
a. 1.4, 1.8, 2.2, 2.6
b. 3/2, 2, 5/2, 3
c. 4, 1, 0, -1, -4
C
100
What term should you add to this equation to complete the square?
x^2+18x
81
100
What would be the horizontal asymptote and the range?
Hint: range is all possible y values.
HA is y = 3
Range is all values of y greater than 3
100
In an exponential function, what does the a represent?
𝑓(𝑥)=
ab^x
initial value
100
Here are three graphs: |x|, 0.25|x|, and 5|x|
Which graph would be the widest?
0.25|x|
200
A Chicago style hot dog traditionally has which of these toppings?
a. black pepper
b. ketchup
c. tomato slices
d. mayo
tomato slices
200
Calculate the 11th term of this sequence
2, 5, 8, 11...
3(11 - 1) + 2
32
200
List all the factors. example of a random factor: (x + 10)
(x +4)(x - 2)(x -5)
200
What is the horizontal asymptote of this function
f(x) = (14x - 2)/(2x+5)
y = 7
200
My Kia Telluride was originally worth $25,000 and it depreciates at a rate of 5% every year.
What number would we use for our b value in the function 𝑦=𝑎(𝑏)^x
b = 1 - r so b = 1 - 0.05 = 0.95
200
I have a fan that blows air at certain speeds using this function.
f(x) = sqrtx
Which function would make sense if I got a super power cord that TRIPLED all the speeds set on the fan?
a.
f(x) = sqrtx-3
b.
f(x) = 3sqrtx
c.
f(x) = sqrt(x+3)
B
300
July is the national month of what summer food?
a. hotdogs
b. watermelon
c. ice-cream
d. lemonade
icecream
300
Find the common ratio
56, 28, 14, 7...
1/2
300
How many real solutions?
x^2 -14x + 49 = 0
one
300
Solve
5/(x-2)=12/(3x)
x = -8
300
Which expression is equivalent to
4(2.5)^(1/2)
a.
4(1.25)
b.
4(5)^2
c.
4sqrt2.5
C
300
What is the vertex of this graph?
Is it a minimum or maximum?
(2, 4)
minimum
400
What happens to the Eiffel Tower during the summer?
It grows 6 inches taller.
400
Write the explicit formula for this geometric sequence:
5, -15, 45, -135...
5(-3)^n-1
400
What are the zero(s) of the below function.
(-3,0), (-1,0) and (2,0)
400
What is the domain of the function?
Hint: what values of x are possible?
f(x)=1/(x-2)
all values of x except 2
400
My luxury dog house cost 85,000 dollars and it appreciates by 6% every year. How much will it be worth in 4 years? Round to the nearest dollar.
$107,311
400
If h(x) =
x^2+4x+8
What is -h(x)= ?
a)
x^2-4x+8
b)
-x^2-4x-8
b.
-h(x) means reflection over x axis so graph both and look.
500
When is the first day of summer?
June 21
500
Troy Bolton received 2 offers to play basketball in college his freshmen year. Each year the amount of offers tripled. How many offers did he have at the end of his senior year?
54 offers
500
Draw a sketch of a graph for a function that has an odd degree and negative leading coefficient
left side up, right side down
500
What is the vertical asymptote of
f(x) = (x^2 - 9)/(x+4)
x = -4
500
Here is a function: 𝑓(𝑥)=
25e^(0.017x)
What is the growth rate?
1.7%
500
Describe the transformations
-f(x - 1) + 2
reflect over x axis, move right 1, up 2