Function Operations
Simplify: f(x) + g(x)
f(x) = 2x + 5
g(x) = 6x + 1
8x + 6
What is the common difference in this sequence?
1, 8, 15, 22...
d = 7
Growth or decay?
1,000(1.05)8
Growth
What does i represent?
An imaginary number (or the square root of -1)
How many Infinity Stones feature in the Marvel Cinematic Universe films?
6
Simplify: f(x) - g(x)
f(x) = 2x + 5
g(x) = 6x + 1
-4x + 4
What is the common ratio of this sequence?
2, 10, 50, 250...
r = 5
Growth or decay?
34,050(0.98)12
Decay
What does i2 represent?
i2 = -1
In which year did World War I begin? (or closest guess!)
1914
Simplify: f(x) / g(x)
f(x) = 2x + 5
g(x) = 6x + 1
(2x + 5) / (6x - 1)
Write the explicit formula for this sequence:
-10, -8, -6, -4...
an = -10 + 2(n - 1)
Write an equation that represents an initial amount of $15 and an increase of 35% each year for 10 years.
y = 15(1 + 0.35)10
Simplify:
(3 + 4i) + (6 - 2i)
9 + 2i
How many cards are there in a standard deck of UNO? (or closest guess!)
108
Simplify: f(x) * g(x)
f(x) = 2x + 5
g(x) = 6x + 1
8x2 + 32x + 5
Write the explicit formula for this sequence:
1, 4, 16, 64...
an = 1(4)n-1
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
4,309
Simplify:
13 + 3i + 10i2
3 + 3i
What year was the very first model of the iPod released? (or closest guess!)
2001
Simplify: f(g(x))
f(x) = 2x + 5
g(x) = 6x + 1
12x + 7
What is the 76th term in this sequence?
4, 19, 34, 49...
a76 = 1,129
Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semiannually, what will be the balance after 18 years?
$6,427.94
Simplify:
(2 + 4i)(3 - 10i)
46 - 8i
How many pounds does the average cloud weigh? (or closest guess!)
1.1 million pounds