Linear Functions
Exponential Functions
Continuous & Discrete Functions
Sequences
Function Basics
Bonus Category:
Basketball Players
Basketball Players
100
Linear functions have a __________ rate of change
Constant
100
Exponential functions have a _________ rate of change
Non-Constant
100
What is the main difference between a discrete and continuous function?
Dots vs connected line
Change happens all at once vs continuously
100
In an arithmetic sequence, the amount of increase or decrease is known as the _____________
Common difference
100
What is the definition of a function?
A function is a relationship between an input and an output
100
This American basketball player has more points than any other player in NBA history.
Who is he?
LeBron James
200
True or false
Linear functions represent geometric sequences
False
200
What is another term for the multiplier that remains constant in an exponential function?
Common Ratio
200
Is the following function discrete or continuous?
Discrete
200
In a geometric sequence, the multiplier is commonly referred to as the ________________
Common ratio
200
Does the number 2 represent the input or output?
f(2) = 5
Input
200
This American basketball player is the all-time leader for 3 pointers made in the NBA.
Who is he?
Steph Curry
300
Is the following function linear or exponential?
Linear
300
What type of sequence does an exponential sequence represent?
Geometric sequence
300
Is the following function discrete or continuous?
Continuous
300
Is the following sequence arithmetic or geometric? What is its common different or common ratio?
Arithmetic sequence
Common difference = 3
300
A function exists between the amount of time (in minutes) it takes Mr. K to get to work and the distance (in miles) he travels. Interpret the following function notation in context:
f(10) = 1.5
Mr. K drives for 10 minutes and travels 1.5 miles
300
Which player is the all time leading scorer in WNBA history?
Diana Tuarasi
400
Write the explicit equation for a linear function with a starting number of 3 and a slope of 5
y = 3 + 5x
400
Write an explicit equation for a geometric function with a starting number of 6 and a common ratio of 2
y = 6 * 2^x
400
Is the following function relationship discrete or continuous?
A function exists between the day of the week and the number of students that are present in class
Discrete (countable!)
400
Is the following sequence arithmetic or geometric? Find its common difference or common ratio
Geometric sequence
Common ratio = 2
400
A function exists between the amount of time (in minutes) it takes Mr. K to get to work and the distance (in miles) he travels. Interpret the following statement into function notation:
Mr. K drives for 15 minutes and travels 2 miles
f(15) = 2
400
This NBA player has the highest PPG over the course of an entire season.
Who is he?
Wilt Chamberlain (50.4 PPG in 1961)
500
Find the slope of the following linear equation
1/2
500
Write the explicit equation for the following exponential function
y = 2^x
500
Is the following function relationship discrete or continuous?
A function relationship exists between the time it takes Mr. K to get to school and the distance he travels
Continuous (measurable!)
500
Write the explicit equation for the following sequence:
y = 3 *2^x
500
A function exists between the amount of minutes that a basketball player plays and the average number of points that they score. Interpret the following function notation in context:
f(36) = 20.1
A basketball player plays 36 minutes and averages 20.1 points scored
500
This WNBA player won her 4th league MVP title last season.
Who is she?
A'ja Wilson