Function Notation
Fun Functions
Evaluating Functions
Vocabulary
Average Rate of Change
100
What does the x represent in f(x)?
Input
100
Which function is greater when x = 3?
F(x) = x * 10
G(x) = 9x + 2
F(x)
100
Evaluate when X = 5.
G(x) 4(x+5)
X = 40
100
What is an independent variable?
A variable that does not rely on another variable. It is the input of the function.
100
What is the formula for average rate of change?
F(b) - F(a) / b -a
200
What does the f in f(x) represent?
The name of the function
200
What is the input when g(x) = 4?
X = 2
X = -2
200
Function P gives the perimeter of an equilateral triangle of side length s. It is represented by the equation P = 3s.
What does P(S) = 60 mean in this situation?
Perimeter of the equilateral triangle is 60.
200
What is a dependent variable?
Variable representing the output of a function. It relies on a rule and an input.
200
The graphs show the distance, D, traveled by two cars, A and B, over time, T . Distance is measured in miles and time is measured in hours.
Which car traveled slower?
Car A.
300
What does f(x) as a whole represent?
The output
300
Evaluate f(7)
F(x) = 7 + 10x
G(x) = x2 - x + 5
H(x) = x / 14 + 10
f(7) = 77
300
The three graphs represent the progress of three runners in a 400-meter race.
The solid line represents runner A. The dotted line represents runner B. The dashed line represents runner C.
Which runner ran at a constant pace?
Runner C
300
What is a function?
A function takes inputs from one set and assigns them to outputs from another set, assigning exactly one output to each input.
300
A(t) is the average high temperature in Aspen, Colorado, t months after the start of the year.
M(t) is the average high temperature in Minneapolis, Minnesota, t months after the start of the year.
Which function had the higher average rate of change between the beginning of January and middle of March? What does this mean about the temperature in the two cities?
400
Evaluate f(9) when f(x) = 3x2
243
400
Function G takes a student’s first name for its input and gives the number of letters in the first name for its output.
Describe the meaning of G(Jada) = 4
The name “Jada” has four letters.
400
Function A gives the area, in square inches, of a square with side length x inches.
Create a table for values of x when x = 0, x =1, x = 3, x = 7, x = 12.
X = 0, A = 0
X = 1, A = 1
X = 3, A = 9
X = 7, A = 49
X = 12, A = 144
400
What is the Average Rate of Change?
The average rate of change of a function f between inputs a and b is the change in the outputs divided by the change in the inputs.
500
Evaluate f(3) and g(6) when
f(x) = 3(x+10) +4x
g(x) = x2
F = 51
G = 36
500
What is a horizontal intercept?
The point in which a line crosses through the horizontal/x axis where y=0.