Function Notation
The variable that is inside the parenthesis in function notation
What is the input (or independent) variable?
The highest point of a function
What is the maximum?
The set of all possible output values of a function
What is the range?
It is found by dividing the difference in the outputs by the difference in the inputs
What is the average rate of change?
The reverse of a function, where the input becomes the output and the output becomes the input
What is an inverse function?
Function notation way of saying that when the input of function f is 12, the output is 43
What is f(12)=43 ?
The lowest point of a function
What is the minimum?
The set of all possible input values of a function
What is the domain?
The average rate of change between the following:
the temperature at 6am was 55 degrees
the temperature at 11am was 78 degrees
(input: hour, output: temperature)
What is 4.6 degrees per hour?
The inverse of the function c=w+3
What is w=c-3 ?
Function notation way of saying that the output of function P is -4.5 when the input is 7
What is P(7)=-4.5 ?
The point where a function has an x-value of 0
What is the y-intercept (or vertical intercept)?
The domain of a function whose input variable is number of students in this class
What is whole numbers only between 0 and 26?
The average rate of change between the following:
Mark was 60 inches tall in 2018
Mark was 67 inches tall in 2022
(input: year, output: height)
What is 1.75 inches per year?
The inverse of the function w=d/7
What is d=7w ?
Function notation way of saying that two inputs of function S, 10 and 38, have the same output
What is S(10)=S(38) ?
The point where a function has an y-value of 0
What is the x-intercept (or horizontal intercept)?
The domain of a linear function
What is all numbers?
The average rate of change between the following:
Luca has $987 in his bank account in March
Luca has $453 in his bank account in December
(input: month, output: $)
What is a decrease of $59.33 per year? (-$59.33/year)
(200 points if rate is correct but you forgot that it is decreasing or negative)
The inverse of the function y = 65 + 5x
What is x = (y-65)/5 OR x = y/5-13 ?
Function notation way of saying that the output of function f when the input is 7 is less than the output of function f when the input is 6
What is f(7)<f(6) ?
True or false: A function can have multiple minimum values
What is 'True'?
SUPRISE! (Not a domain and range question) (90 sec)
The owner of a restaurant bought 80 lbs of pasta. Each week, the restaurant uses 10 lbs of pasta.
Function p gives the remaining amount of pasta, in lbs, as a function of the number of weeks, w, since the restaurant bought the pasta.
Use function notation to write a rule that defines function p.
What is p(w)=80-10w ?
The average rate of change between the following points:
(a, f(a)) and (b, f(b))
What is (f(b)-f(a))/(b-a) ?
The inverse of the function P(n) = n/3 - 1.2
What is n = 3P(n) + 3.6 ?