Definitions
We used to call these equations, but now what do we call them.
They are in the form: f(x) "f of x"
Functions
Function H gives the height of a plant, in centimeters, when it is d days old. Describe the following situation using function notation: The plant is 18 centimeters tall after 5 days.
H(5) = 18
A movie theater chargers $12 for each ticket. The function T gives the total for m amount of movie tickets. Write out what the function below means:
T(3) = 36
Given: F(x) = 2x + 1
Find: F(4)
F(4) = 9
In a graph of a functions these are parts that are the top of a curve. They are the highest part then the function goes down.
maximums
The function C gives the distance a car can travel using g amount of gas. Using function notation write the following. When the car has 5 gallons of gas the car can travel 100 miles.
C(5) = 100
The function R gives the amount of dollars for a bike ride for h amount of hours. Given the function write out what it means.
R(h) = 20
The amount of dollars for a bike ride of h hours is 20 dollars
Given: G(h) = -2h + 1
Find: G(-1)
G(-1) = 3
In the graph of a function these are parts that are at the bottom of curves. They are the smallest point in that section of the graph.
minimums
Function D gives the distance of a skateboarder from the starting point t seconds after beginning the ride. The distance at 5 seconds is larger then the distance at 3 seconds.
D(5) > D(3)
Function P gives the total price for babysitting for a certain amount of hours. Describe what the function means below.
p(4) = 80
The price for babysitting for 4 hours is 80 dollars.
Given: H(x) = 5x + 2
Find: H(x) = 22
x = 4
or
H(4) = 22
Write the formula for the average rate of change.
y2-y1 over x2-x1
Function W gives the amount of water in a tank measured by t hours since the tank started filling. write the following in function notation: The amount of water after 2 hours was the same as the amount after 5 hours.
The two functions X and Y describe two people walking for an amount of seconds. Write what the function means below.
X(4) < Y(2)
Person X at 4 seconds is at a smaller distance then person Y at 2 seconds.
Given: P(s) = 4x - 5
Find: P(s) = 11
or
P(4) = 11
Sort these words into 2 groups.
Independent variable
Dependent variable
input
output
f(x)
x
Independent variable dependent variable
input output
x f(x)
Functions B and H describe 2 cities and there population p at a certain year. Using function notation write the following: The population of function B is less then the population of function H in the year 1999.
B(1999) < H(1999)
function A and B describes two cities and the distance you get in m miles. Write what the following means.
A(m) > B(m)
the distance of city A for m amount of miles is larger then the distance of city b going m amount of miles.
Given: D(x) = 6x + 9
Find: D(1)
D(1) = 15