Function Notation

Linear
Function

Characteristics and

evaluation

DO NOW: Writing slope-intercept form
DISCUSSION: Evaluating functions
WE DO: 4 Practice Questions
CHECK FOR UNDERSTANDING
CLOSURE: Understanding graph
INDEPENDENT WORK: 3 Problems

AGENDA

I can...

Evaluate functions and interpret the meaning
of the expressions involving function notation
in terms of the given context.

DO NOW

a.) Write the linear function that

models the given graph.

b.) Find the slope and interpret its

meaning.

Multiple Choice

Write the linear function that models the graph.

• y=1000

• y = 1000x

• f(x) = 1000x

• f(x) = 1000

Multiple Choice

Find the slope and interpret its meaning.

• The slope is zero and it means there is no change.

• The slope is 1000 and it means that the height is increasing 1000 ft every minute

• The slope is 1000 and it means that the you need 1000 minute to increase the height

• The slope is 1000 and it means that the height is increasing 1000 ft everyday.

https://phet.colorado.edu/sims/cheerpj/moving-
man/latest/moving-man.html?simulation=moving-man

ACTIVATOR

Some sets of ordered pairs can be
described by using an equation. When
the set of ordered pairs described by an
equation satisfies the definition of a
function, the equation can be written in
function notation.

FUNCTION
NOTATION

Multiple Choice

g(x) = 5-3x

• equation

• function notation

Multiple Choice

3x - 2y = 7

• equation

• function notation

Multiple Choice

h(t) = 3t²-5t+7

• equation

• function notation

RECALL

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EXAMPLE 1:

Multiple Choice

Paco's daughter will be participating in an upcoming dance recital. She will require a different costume for each dance she plans to performs.
c = the number of costumes Paco's daughter will require
d = the number of dances Paco's daughter plans to perform
Which of the variables is independent?

• c = the number of costumes Paco's daughter will require

• d = the number of dances Paco's daughter plans to perform

Multiple Choice

Identify the independent variable

The number of hours, h, worked and the amount of money, m, earned

• hours, h

• money, m

EXAMPLE 2
f(input) = output

EXAMPLE 3:

Multiple Choice

If f(x) = 2x + 1, find f(1).

• f(1) = 1

• f(1) = 4

• f(1) = 0

• f(1) = 3

Multiple Choice

f(2) = 5.

Which statement is correct?

• 2 is input and 5 is output. It means (5,2)

• 2 is input and 5 is output. It means (2,5)

• 5 is input and 2 is output. It means (5,2)

• 5 is input and 2 is output. It means (2,5)

The graph represents the balloons flight.

1.) When is the ballon at 5000 ft? Show this

on graph.

a.) Write it as an ordered pair.
b.) Write it in function notation.

2.) Although not on the graph, when will the

balloon reach 10,000 ft? Show working.

CLOSURE: