Download PowerPoint - Huffman`s Algebra 2

LESSON 1–6
Relations
Over Lesson 1–5
What is the solution of 5b – 11 = 34 given the
replacement set {7, 9, 13, 16, 22}?
Over Lesson 1–5
Over Lesson 1–5
Solve (6 – 42 ÷ 7) + k = 4.
Over Lesson 1–5
Solve (3 + 42 – 9)m = 90.
Over Lesson 1–5
Solve 8a – (15 – 3.2) = a + (52 – 13).
Over Lesson 1–5
Targeted TEKS
A.2(A) Determine the domain and range of a
linear function in mathematical problems; determine
reasonable domain and range values for real-world
situations, both continuous and discrete; and
represent domain and range using inequalities.
Mathematical Processes
A.1(A), A.1(E)
• coordinate system
• relation
• coordinate plane
• mapping
• x- and y-axes
• domain
• origin
• range
• ordered pair
• independent variable
• x- and y-coordinates
• dependent variable
Representations of a Relation
A. Express the relation {(4, 3), (–2, –1), (2, –4), (0, –4)}
as a table, a graph, and a mapping.
Table List the x-coordinates
in the first column and the
corresponding y-coordinates
in the second column.
Representations of a Relation
Graph Graph each ordered pair on a coordinate plane.
Representations of a Relation
Mapping List the x-values in the domain and the
y-values in the range. Draw an arrow from the x-value
to the corresponding y-value.
Domain
4
–2
2
0
Range
3
–1
–4
Representations of a Relation
B. Determine the domain and range for the
relation {(4, 3), (–2, –1), (2, –4), (0, –4)}.
Answer: The domain for this relation is {4, –2, 2, 0}. The
range is {3, –1, –4}.
A. Express the relation {(3, –2), (4, 6), (5, 2), (–1, 3)}
as a mapping.
B. Determine the domain and range of the relation
{(3, –2), (4, 6), (5, 2), (–1, 3)}.
Independent and Dependent Variables
A. CLIMATE In warm climates, the average amount
of electricity used rises as the daily average
temperature increases, and falls as the daily
average temperature decreases. Identify the
independent and the dependent variables for this
function.
Answer: Temperature is the independent variable, as it
is unaffected by the amount of electricity used.
Electricity usage is the dependent variable, as
it is affected by the temperature.
Independent and Dependent Variables
B. CALORIES The number of calories you burn
increases as the number of minutes that you walk
increases. Identify the independent and the
dependent variables for this function.
A. In a particular club, as membership dues increase,
the number of new members decreases. Identify the
independent and dependent variable in this function.
B. The area of a square increases as the length of a
side increases. Identify the independent and
dependent variable in this function.
Analyze Graphs
The graph represents the temperature inside on a
winter day. Describe what is happening in the
graph.
Sample answer: The temperature increases after the
heat is turned on. Then the
temperature fluctuates up and down
because of the thermostat. Finally, the
temperature drops when the heat is
turned off.
The graph represents Macy’s
speed as she swims laps in a pool.
Describe what is happening in the
graph.
LESSON 1–6
Relations