1.2 & 1.3 Functions and Their Graphs D1 & D2

Write down the date, Section #, Title and Learning Objective(s) into your notebook.

SWBAT evaluate using functional notation.

SWBAT determine the domain of a function without a graph.

Please take a couple of minutes to check your answers to the even numbered problems in the previous assignment. Correct the ones you got wrong and write the total number of correct over the total number in the top right hand corner.

Be prepared to either ask a question or answer one.

Key ConceptsLOOK LISTEN

Write down what you want into “Key Concepts” as you Look & Listen.

Good Bad Ugly

Polynomial Radicals Fractions

3 2x 10 32.6 5.09 2.008x x

2 5 7x x 3 2x

4 4x

3

x2

2 1x

x x

2

2

7 18 56

16

x x

x

Key ConceptsLOOK LISTEN

Write down what you want into “Key Concepts” as you Look & Listen.

Good Bad UglyPolynomial Radicals Fractions

Gets along with everyone

Doesn’t like it’s insides to be

negative

Doesn’t like it’s bottom to be

negative

D: all real numbers D: restrict the expression

D: solve the bottom & make these your

restrictions

3 2x 10 32.6 5.09 2.008x x

2 5 7x x 3 2x 4 4x

3

x 2

2 1x

x x

2

2

7 18 56

16

x x

x

0

Now let’s try together.

SWBAT determine domain from a given function, without a graph.

Write in notebook.

Find the domain of the function:

2( ) 5 2 1f x x x

Now let’s try together.

SWBAT determine domain from a given function, without a graph.

Write in notebook.

Find the domain of the function:

2( ) 1 2g y y

Now let’s try together.

SWBAT determine domain from a given function, without a graph.

Write in notebook.

Find the domain of the function:

( ) 9h t t

Now let’s try together.

SWBAT determine domain from a given function, without a graph.

Write in notebook.

Find the domain of the function:

2

1( )

4f x

x

Now let’s try together.

SWBAT determine domain from a given function, without a graph.

Write in notebook.

Find the domain of the function:

2 1( )

7 9

xf x

x

Now you try.Write in notebook.

SWBAT determine domain from a given function, without a graph.

Find the domain of the function:

25 20 15( ) 2 2.75 3.001f x x x x x

Now you try.Write in notebook.

SWBAT determine domain from a given function, without a graph.

Find the domain of the function:

( ) 2 5d t x

Now you try.Write in notebook.

SWBAT determine domain from a given function, without a graph.

Find the domain of the function:

2

2

3 7 1( )

10 25

x xf x

x x

How do we get there?

SWBAT evaluate functions using a graph.

LOOK LISTEN

(1) ?f

( )f x

( 2) ?f (3) ?f

Now let’s try together.Use whiteboards.

SWBAT evaluate functions using a graph.

( )f x

( 4) ?f (0) ?f (?)f undefined

Now let’s try together.Use whiteboards.

SWBAT evaluate functions using a graph.

( )f x

(3) ?f (?) maxf (?) 0f

Now you try.Write in notebook.

SWBAT use interval notation when determining domain & range from a graph.

( )f x

(3) ?f (?) 0f

Now you try.Write in notebook.

SWBAT evaluate functions using a graph.

( )f x

( 1) ?f (3) ?f

Now you try.Write in notebook.

SWBAT evaluate functions using a graph.

( )f x

( 4) (4)?f f (?) 0f

Now you try.Write in notebook.

SWBAT evaluate functions using a graph.

( )f x

(?) minf ( 1) ?f (2) ?f

Assignment:

Pg. 38 #1 – 4(Write using interval notation)Pg. 38 #1 – f(1)=?, 2 – f(0)=?, 3 – f(-2)=?, 4 – f(0)=?