FUNCTION NOTATION AND
EVALUATING FUNCTIONS
Standard: MGSE9-12.F.IF.2 Use
function notation, evaluate functions
for inputs in their domains, and
interpret statements that use function
notation in terms of a context.
Essential Question: What does it
mean to evaluate a function?
JANUARY 23, 2018 WARM UP
NUMBER TALKS
What is Number Talks?
Number Talks are a valuable classroom routine for:
•making sense of mathematics
•developing efficient computation
•communicating reasoning
•and providing solutions
SILENT SIGNALS
READY
Closed fist on chest
I HAVE AN ANSWER
Put thumb up
I HAVE ANOTHER STRATEGY
Put out a finger for each additional strategy
SAME THINKING
Move hand back and forth to show agreement
KEY CONCEPTS
• Functions can be evaluated at values and variables.
• To evaluate a function, substitute the values for the domain for all
occurrences of x.
• To evaluate f(2) in f(x) = x + 1, replace all x’s with 2 and simplify:
f(2) = (2) + 1 = 3.
This means that f(2) = 3.
• (x, (f(x)) is an ordered pair of a function and a point on the graph of
the function.
GUIDED PRACTICE EXAMPLE 1
Evaluate over the domain . What is the range?
GUIDED PRACTICE EXAMPLE 2
Evaluate
over the domain . What is the range?
GUIDED PRACTICE EXAMPLE 3
Raven started an online petition calling for more vegan options in the school cafeteria.
So far, the number of signatures has doubled every day. She started with 32 signatures
on the first day. Raven’s petition can be modeled by the function
.
Evaluate and interpret the results in terms of the petition.
TICKET OUT THE DOOR
If the domain of is
, what is the range
JANUARY 24, 2018 WARM UP
If , Find if
BLAST FROM THE PAST #14
INDEPENDENT WORK
Work to complete the Function Notation handout. If you are having trouble refer to
your Cornell notes and/or ask a neighbor. NO CELL PHONES SHOULD BE OUT!!!!
JANUARY 25, 2018 WARM UP
1. If , Find
2. If
, Find
3. If , find if
4. If , find if
NUMBER TALKS
What is Number Talks?
Number Talks are a valuable classroom routine for:
•making sense of mathematics
•developing efficient computation
•communicating reasoning
•and providing solutions
SILENT SIGNALS
READY
Closed fist on chest
I HAVE AN ANSWER
Put thumb up
I HAVE ANOTHER STRATEGY
Put out a finger for each additional strategy
SAME THINKING
Move hand back and forth to show agreement
INDEPENDENT WORK
Work to complete the Evaluating Functions Assignment. If you are having trouble refer
to your Cornell notes and/or ask a neighbor. NO CELL PHONES SHOULD BE OUT!!!!
JANUARY 26, 2018 WARM UP
Given the graph,
what is ?
BLAST FROM
THE PAST
#15
QUIZ/NOTEBOOK CHECK
Have your notebooks available for review.
Take your time to complete the Function Notation quiz. NO TALKING AND NO
CELL PHONES.
If you finish before time, simply raise your hand for your next set of instructions.
