Function Vocabulary
Is it a function?
Function Notation
Evaluating Functions
Average Rate of Change
100
The input is also known as the ________________ _____________.
what is independent variable.
100
Does the relation in the table below represent a function?
Yes! each input contains only one matching output.
100
In the function f (t) = 20, t represents the ______ of the function.
What is "the input"
100
The value of f(4) if
f(x)=2x-3
what is
f(4)=5
100
When solving an average rate of change problem, the two ______ go in the numerator, and the two ______ go in the denominator of the fraction.
What is "When solving an average rate of change problem, the two outputs go in the numerator, and the two inputs go in the denominator of the fraction."
200
In the function f(x)=10, 'f' represents the _____ of the function.
What is the name of the function.
200
Does the relation below represent a function?
No! The input 0 matches with two different outputs.
The input 2 also matches with two different outputs.
200
In the function g (t) = 35, the output of the function is ___
what is "35"
200
What is the value of g(2) if
g(x)=4x^2
What is
g(2)=16
200
What is the average rate of change from point A to point F? Include units in your answer!
What is "35 miles per hour"
300
A relationship between two quantities is a function if there is ___ ______ for each _____.
what is "one output for each input"
300
Does the relation below represent a function?
*Bonus* What would this relation look like on a graph?
No! The input 0 matches with five different outputs.
This relation would look like a vertical line going down the y-axis.
300
Describe what F (20) = 2500 means using appropriate Algebra vocabulary.
What is "the output of function F is 2500 when the input is 20."
300
The value of h(-2) if
h(x)=3x^2+10
what is
h(-2)=22
300
Determine the average rate of change from year 30 to year 40.
what is -0.6
400
The cost of a hotel stay over n nights can be represented by the function C(n) = 163n
What does C(6) represent in this situation?
*bonus* What is the value of C(6)
What is "the cost to stay at the hotel for six nights"
*bonus* what is
C(6)=978
400
Does the relation below represent a function?
Yes! each input is unique and it matches with only one output.
All of the outputs are allowed to be the same value.
400
Function F gives the temperature, in degrees Fahrenheit, t hours after midnight.
Explain the meaning of F (8) < F (13)
"The temperature is 8am is less than the temperature at 1pm"
400
The value of k(3) if
k(x)=2x^2-7x
what is
k(3)=-3
400
The rate of change between years 10 and 30 is 0.3
What does this mean in this situation?
What is "Between years 10 and 30, the population increased by 300 people per year."
500
The __________ ________ is always a function of the __________ ________.
What is "The dependent variable is always a function of the independent variable."
500
Does the relation below represent a function?
{(-4, -4), (-3, -2), (-2, 0), (-3, 2), (-4, 4)}
No! the input -4 matches with two different outputs.
Also, the input -3 matches with two different outputs.
500
Given: F (x) = 17.2x - 1.8
G (x) = 14.6x + 7.3
Which function has a greater value when the input is 4.
What is " F (x)
500
The value of m(-2) if
m(x)=3x^2-5x-7
what is
m(-2)=15
500
What is "1am to noon"