Review for Quiz 2.1.1 and 2.1.2

Presentation

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Mathematics

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9th - 12th Grade

•

Medium

•

CCSS

8.F.A.1, HSF.IF.A.2, HSF-IF.C.7B

Standards-aligned

Stephanie Balbaneda

Used 2+ times

FREE Resource

13 Slides • 26 Questions

Review for Quiz 2.1.1 and 2.1.2

by Stephanie Balbaneda

Your quiz will test on the following

Domain and Range
Transformations with Function Notation
Transformations with Piecewise functions
Identifying Piecewise Functions Interval

Title your Notes :

Chapter 2.1.1 and 2.1.2 NOTES

Be ready to take notes. Take out your notebook.

You can use THESE notes for your quiz

Chapter 2.1.1 and 2.1.2 Notes

Domain and Range:

*Watch the following video to take notes

Different notations

Take the time to read each row
Notice connections
The chart is color coded to help you find the connections

Inequality Graph Interval

All THREE colums represent the same. Just different notation.

Get ready to practice.. You do not need to take notes on the following questions.

Move on to the next slide

Multiple Choice

What is the range of the graph?

1 ≤ x ≤ 5

1 < x < 5

1 ≤ y ≤ 5

1 < y < 5

Multiple Choice

What is the range of the graph?

-7 ≤ x < 5

-3 ≤ x < 1

-3 ≤ y < 1

-7 ≤ y < 5

Multiple Choice

What is the DOMAIN of this graph?

-4 ≤ x ≤ 3

-1 ≤ x ≤ 4

4 < x < 3

-1 < x < 4

Multiple Choice

What is the DOMAIN of this graph?

x < -3

x ≤ -3

x > -3

x ≥ -3

Multiple Choice

What is the range in inequality notation?

( -4 , 4 )

[ 1 , -3 )

-4 < x < 4

1 ≥ y > -3

Multiple Choice

What is the domain in inequality notation?

( -4 , 4 )

[ 1 , -3 )

-4 < x < 4

1 ≥ y > -3

Multiple Choice

What is the RANGE?

(-∞, +∞)

(-2, +∞)

[-2, +∞)

(-∞, 0) U (0, +∞)

Multiple Choice

What is the DOMAIN?

(-∞, +∞)

(-2, +∞)

[-2, +∞)

(-∞, 0) U (0, +∞)

Multiple Choice

What is the RANGE?

(-∞, +∞)

(-∞, 1)

(-∞, 1]

(-∞, 0) U (0, +∞)

Chapter 2.1.1 and 2.1.2 Notes

Domain and Range:

*Add a new section to your notes

Transformations with Function Notations

Transformations with Function Notations:

Here is a shortcut to all the transformations.... Copy them in your notes!

The next slides are practice:

You do not need to write them in your notes.

Multiple Choice

$𝑦=𝑓(𝑥)+2$

$𝑦=𝑓(𝑥)−2$

$𝑦=𝑓(𝑥+2)$

$𝑦=𝑓(𝑥−2)$

Multiple Choice

$𝑦=𝑓(𝑥)+2$

$𝑦=𝑓(𝑥)−2$

$𝑦=𝑓(𝑥+2)$

$𝑦=𝑓(𝑥−2)$

Multiple Choice

$𝑦=𝑓(𝑥)+3$

$𝑦=𝑓(𝑥)−3$

$𝑦=𝑓(𝑥+3)$

$𝑦=𝑓(𝑥−3)$

Multiple Choice

$𝑦=𝑓(𝑥)+3$

$𝑦=𝑓(𝑥)−3$

$𝑦=𝑓(𝑥+3)$

$𝑦=𝑓(𝑥−3)$

Multiple Choice

$𝑦=𝑓(𝑥+5)+3$

$𝑦=𝑓(𝑥−5)−3$

$𝑦=𝑓(𝑥+5)−3$

$𝑦=𝑓(𝑥−5)+3$

Multiple Choice

$𝑦=𝑓(2𝑥)$

$𝑦=𝑓(1/2𝑥)$

$𝑦=2𝑓(𝑥)$

$𝑦=1/2𝑓(𝑥)$

Multiple Choice

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

Vertical Compression by a factor of 2

Vertical Stretch by a factor of 2

Vertical translation up by 2 units.

Reflection across the x-axis.

Multiple Choice

Which of the following transformations are present?
-2f(x - 1) + 2

Shift 1 unit down

Shift 1 unit up

Shift 1 unit left

Shift 1 unit right

Multiple Choice

The original graph is f(x). The new graph has been moved up 3 and to the right 4. The new graph is:

f(x + 3) - 4

f(x - 4) + 3

f(x + 4) + 3

f(x + 3) + 4

Multiple Choice

If the original graph is f(x), and the new graph has been moved two to the left, what would be the new graph in f(x) notation?

f(x + 2)

f(x) + 2

f(x - 2)

f(x) - 2

Multiple Choice

If $f\left(x\right)=2x-1$

Find an expression for $f\left(x\right)+4$

$2x+3$

$x+4$

$2x-4$

Multiple Choice

If $f\left(x\right)=2x-1$

Find an expression for $f\left(2x\right)$

$2x+4$

$4x$

$4x-1$

Transformations with Function Notations:

Transformations with PIECEWISE Functions :

Add the next section to your notes

Transformations with PIECEWISE Functions

watch the following videos to take notes

Multiple Choice

Write the equation for g(x) if g(x) = f ( x+2) - 4

$\left(x+2\right)^2-5,\ x\le0$ $2x-1\ ,\ 0<x<5$

$-1,\ x>5$

$\left(x+2\right)^2-5,\ x\le-2\ \ \$ $2x-1\ ,\ -2<x<3$

$x^2+2-5,\ x\le2$

$2x-2,\ 0\le x\le4$

$\left(x-4\right)^2-2,\ x\le0$ $2x-4\ +2,\ 0<x\le2$

Multiple Choice

What is f(0)?

2x+3

none of these are correct

Multiple Choice

Which piecewise function corresponds to this graph? (Take your time)

f(x) = { x if x < 4; -x+1 if x ≥ 4

f(x) = { x if x ≤ 4; -x+1 if x > 4

f(x) = { -x+1 if x < 4; x if x ≥ 4

f(x) = { -x+1 if x ≤ 4; x if x > 4

Multiple Choice

Match the graph with the correct equation.

Multiple Choice

Find f(2)

f(2) = 0

f(2) = 1

f(2) = 3

f(2) = 4

Review for Quiz 2.1.1 and 2.1.2

by Stephanie Balbaneda

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