Representing Relationships
A store receives 7 new movies a week. Write an equation to find the number of new movies m in any number of weeks w.
m = 7w
State the domain and range. {(4, −2), (−1, 1), (2, −3), (3, 0)}
D: -1, 2, 3, 4
R: -3, -2, 0, 1
Find the value of the function.
f(8) if f(x) = 15x
120
Graph the function.
y = 2x + 3
Teacher will check graph.
An equation with a graph that is a straight line.
What is a Linear Equation.
Emma competes in a jump rope competitions. Her average rate is 225 jumps per minute.
Write an equation to represent the number of jumps in any number of minutes.
j = 225m.
State the domain and range of the function.
{(3, 4), (1, −2), (4, −1), (2, 2)}
domain: {1, 2, 3, 4}
range:{-2, -1, 2, 4}
Find the value of the function.
f(4) if f(x) = -3x + 15
3
Graph the function.
y = -x
Teacher will check graph.
Any set of ordered pairs.
What is a relation.
Cornett Cable charges $32.50 a month for basic cable tv. Each premium channel costs an additional $4.95 per month.
Write an equation to find the total monthly cost c for any number of premium chancels p. What is the cost for 3 premium channels?
c = 32.50 + 4.95p
$47.35
Express each relation as a table. Then state the domain and range.
{(-1, -5), (2, -3), (3, -2), (5, 1), (-4, 2)}
R: -5, -3, -2, 2
Find the value of the function.
f(2) if f(x) = 2x - 5
f(3) if f(x) = 2x - 5
f(2) = -1
f(3) = 1
Make a function table.
Then graph the function.
y = x + 4
Teacher will check answers.
What is a Linear Function?
A function in which the graph of the solutions form a straight line.
The zoo is holding a recycling day. It deducts $0.10 from the price of admission for each recyclable item donated at the zoo. Admission is $15.
p = 15 - 0.1d
Express the relation as a table and a graph. Then state the domain and range. {(3, −4), (2, 0), (−4, −1), (0, −3)}
D: -4, 0, 2, 3
R: -4, -3, -1, 0
Find the value of the function if f(8), (10), and (11) if f(x) = 3x - 10.
f(8) = 34
f(10) = 20
f(11) = 23
Make a function table.
Then graph the function.
y = 2x - 1
Teacher will check answers.
Define domain of a relation and define range of relation.
Domain - the set of x-coordinates.
Range - the set of y-coordinates.
A manufacturer produces 950 light bulbs per day. Write an equation to find the number of bulbs b the manufacturer makes in any number of days d. Find the number of light bulbs make in 10 and 99 days.
b = 950d
10 days = 9,500 Light Bulbs
99 days = 94,050 Light Bulbs
Express the relation as a table and a graph. Then state the domain and range
{(1, -2), (-2, 3), (0, 4)}
D: -2, 0, 1
R: -2, 3, 4
Table and Graph
Choose four values for x to make a function table for the function. State the Domain and Range of the function.
f(x) = 5 - 2x
Answers will vary.
An appliance repairman charges $60 for a service call plus an additional $40 per hour to repair appliances.
a. Write a function to represent the situation.
b. Make a function table to find the total cost.
y = 40x + 60
1 $100 2 $140 3 $180 4 $220
What is discrete data?
What is continuous data?
D: Data with space between possible data values. Graphed represented with dots.
C: Data can take on any value, there is no space between data values for a given domain. Graphed with a solid line.