FIND THE DOMAIN AND RANGE OF THE FUNCTION: 1. FIND THE INVERSE OF THE FUNCTION. STATE ANY DOMAIN...

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FIND THE DOMAIN AND RANGE OF THE FUNCTION: 1 3 7 () 2 x fx x

Transcript of FIND THE DOMAIN AND RANGE OF THE FUNCTION: 1. FIND THE INVERSE OF THE FUNCTION. STATE ANY DOMAIN...

Page 1: FIND THE DOMAIN AND RANGE OF THE FUNCTION: 1. FIND THE INVERSE OF THE FUNCTION. STATE ANY DOMAIN RESTRICTIONS. 2.

FIND THE DOMAIN AND RANGE OF THE FUNCTION:

1

3 7( )

2

xf x

x

Page 2: FIND THE DOMAIN AND RANGE OF THE FUNCTION: 1. FIND THE INVERSE OF THE FUNCTION. STATE ANY DOMAIN RESTRICTIONS. 2.

FIND THE INVERSE OF THE FUNCTION. STATE ANY DOMAIN RESTRICTIONS.

2

2( ) 8 9f x x x

Page 3: FIND THE DOMAIN AND RANGE OF THE FUNCTION: 1. FIND THE INVERSE OF THE FUNCTION. STATE ANY DOMAIN RESTRICTIONS. 2.

FIND THE INVERSE OF THE FUNCTION. STATE ANY DOMAIN RESTRICTIONS.

3

( ) 2 5f x x

Page 4: FIND THE DOMAIN AND RANGE OF THE FUNCTION: 1. FIND THE INVERSE OF THE FUNCTION. STATE ANY DOMAIN RESTRICTIONS. 2.

LET f(x) = 5x2 + 2, FIND:

4

( )f x h f x

h

Page 5: FIND THE DOMAIN AND RANGE OF THE FUNCTION: 1. FIND THE INVERSE OF THE FUNCTION. STATE ANY DOMAIN RESTRICTIONS. 2.

IF

AND

FIND

5

( ) 2 7f x x

2( ) 5g x x x

f g x

Page 6: FIND THE DOMAIN AND RANGE OF THE FUNCTION: 1. FIND THE INVERSE OF THE FUNCTION. STATE ANY DOMAIN RESTRICTIONS. 2.

IF

AND

FIND

6

3( )

2f x

x

6

( )g xx

fx

g

Page 7: FIND THE DOMAIN AND RANGE OF THE FUNCTION: 1. FIND THE INVERSE OF THE FUNCTION. STATE ANY DOMAIN RESTRICTIONS. 2.

FIND THE INVERSE OF THE FUNCTION, STATE THE DOMAIN AND RANGE OF BOTH FUNCTIONS:

7

( ) 5 2 1f x x

Page 8: FIND THE DOMAIN AND RANGE OF THE FUNCTION: 1. FIND THE INVERSE OF THE FUNCTION. STATE ANY DOMAIN RESTRICTIONS. 2.

GRAPH THE FUNCTION BELOW. IS IT CONTINUOUS?

8

2, 4( )

3 10, 4

x xf x

x x

Page 9: FIND THE DOMAIN AND RANGE OF THE FUNCTION: 1. FIND THE INVERSE OF THE FUNCTION. STATE ANY DOMAIN RESTRICTIONS. 2.

GRAPH THE FUNCTION:

9

( ) 3f x x

Page 10: FIND THE DOMAIN AND RANGE OF THE FUNCTION: 1. FIND THE INVERSE OF THE FUNCTION. STATE ANY DOMAIN RESTRICTIONS. 2.

IF

AND

FIND

10

1( )

3f x

x

( ) 5 1g x x

Page 11: FIND THE DOMAIN AND RANGE OF THE FUNCTION: 1. FIND THE INVERSE OF THE FUNCTION. STATE ANY DOMAIN RESTRICTIONS. 2.

IF

AND

FIND

11

( ) 2f x x 2( ) 4g x x

( ( ))g f x

Page 12: FIND THE DOMAIN AND RANGE OF THE FUNCTION: 1. FIND THE INVERSE OF THE FUNCTION. STATE ANY DOMAIN RESTRICTIONS. 2.

FIND THE DOMAIN AND RANGE OF THE FUNCTION:

12

5( )

4f x

x

Page 13: FIND THE DOMAIN AND RANGE OF THE FUNCTION: 1. FIND THE INVERSE OF THE FUNCTION. STATE ANY DOMAIN RESTRICTIONS. 2.

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Alyssa baked a cake and is waiting for it to cool so she can ice it. The table shows the temperature of the cake every 5 minutes after Alyssa took it out of the oven. Which model (linear, quadratic, exponential) best fits the data? How do you know? What is the best regression equation for this data? Alyssa will ice the cake when I reaches room temperature (70 degrees). Use the regression equation to predict when she can ice her cake.