Function vs non Function lesson

BUC Beginnings

Describe the format of an ordered pair {i.e (3, 6)} and
how to graph it.

Linear Functions

Relation:

Definition: A set of ordered pairs (x, y)
Characteristics: Ordered pairs

Mapping diagram
table
graph
Examples:

Function:
Definition: A relation that assigns EXACTLY one “y”
with each “x” (x only has one partner)
Characteristics: EVERY function is a relation.

Example:

Function vs Non Function

1. Cut out the function/not function sheet.
2. Cut apart the cards and sort them into function or not
function
3. Check your answers, then glue the cards onto the
function/not function sheet.
4. Glue into your notebooks.

Independent variable - The variable graphed on the x-axis
Dependent variable - The variable graphed on the y-axis

Independent variable

Influences a change
in the

Dependent variable

Independent Dependent

How much gas is in How far your car can
your car… go

Smart phone data Your phone bill
usage

Amount of schooling The number of job
opportunities

Domain and Range

Domain of a relation is the set of all inputs or x-
coordinates

Range of a relation is the set of all outputs or y-
coordinates

D: {-9 ≤ x ≤ 3}

R: {-3 ≤ y ≤ 9}

Practice

Glue in half of your graph paper; grab 4 colors

Geogebra practice

Practice 4 functions (use the link above)
1. Draw each function on your graph paper with a
different color
2. State the Domain and Range for each function

Characteristics of a
graph

X&Y Relative
intercepts Maximums
and
minimums

Increasing Zeros, roots,
and solutions, x-
decreasing intercepts
intervals

x & y intercept door (inside)

The x-intercept is the point where the graph crosses the x-axis

The y-intercept is the point where the graph crosses the y-axis

Increasing and Decreasing Intervals door (inside)

A function is increasing on an interval if the y-value increases
with the x-value

A function is decreasing on an interval if the y-value
decreases while the x-value increases

Relative Maximum and Minimum

The relative maximum is the highest y-value of a particular
region.

The relative minimum is the lowest y-value of a particular
region.

Zeros, Roots, Solutions , x-intercepts

X-intercepts, roots, solution and zeros are all names that
describe the x-value of a graph whose corresponding y-value
is zero.