List the types of intervals that the graph demonstrates in order.

increasing, constant, decreasing, constant

decreasing, constant, increasing, constant

increasing, decreasing, constant

increasing, constant, increasing, constant

What are all the x-intercepts?

(−3,0), (−2,0), (2,0), (3,0)

The function shown in the graph is:

Odd because it's can be rotated 180 degrees about the origin

Even because it's reflected across the y-axis.

Odd because it's reflected across the y-axis.

Even because it's can be rotated 180 degrees about the origin

Is this function even, odd or neither?

Even because it can be reflected across the y-axis

Odd because it can be reflected across the y-axis

Even because it can be rotated 180 degrees about the origin

Odd because it can be rotated 180 degrees about the origin

Neither even nor odd, this is not a function.

Find f(0) in this piecewise function.

f(0) is undefined for this graph.

Evaluate f ( x ) f\left(x\right) f ( x ) for x = − 9 x=-9 x = − 9 and x = 5 x=5 x = 5

f ( − 9 ) = 15 , f ( 5 ) = 0 f\left(-9\right)=15,\ f\left(5\right)=0 f ( − 9 ) = 1 5 , f ( 5 ) = 0

f ( − 9 ) = 0 , f ( 5 ) = 15 f\left(-9\right)=0,\ f\left(5\right)=15 f ( − 9 ) = 0 , f ( 5 ) = 1 5

f ( − 9 ) = 0 , f ( 5 ) = − 6 f\left(-9\right)=0,\ f\left(5\right)=-6 f ( − 9 ) = 0 , f ( 5 ) = − 6

f ( − 9 ) = 15 , f ( 5 ) = − 6 f\left(-9\right)=15,\ f\left(5\right)=-6 f ( − 9 ) = 1 5 , f ( 5 ) = − 6

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

f(x) = { -x+1 if x < 4; x if x ≥ 4

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

What are the transformations to the graph compared to the parent function of y = x y=\sqrt{x} y = x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> Check all that apply.

y = − x − 2 + 3 y=-\sqrt{x-2}+3 y = − x − 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 3

reflection over x-axis: vertical shift up 3; horizontal shift right 2

reflection over y-axis: vertical shift up 3; horizontal shift right 2

y = − x + 2 + 3 y=-\sqrt{x+2}+3 y = − x + 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 3

y = − x − 3 + 2 y=-\sqrt{x-3}+2 y = − x − 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 2

What are the transformations for the graph of the parent function f(x) = √x to the function above

vertical stretch up 2; vertical shift down 5

vertical shift up 2; vertical shift down 5

vertical stretch up 2; vertical stretch down 5

vertical stretch up 2; horizontal shift down 5

Given the blue graph is the the parent function y = x y=\sqrt{x} y = x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> Which equation will transform the blue parent function to the red graph?

y = − x y=-\sqrt{x} y = − x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

y = − x y=\sqrt{-x} y = − x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

y = x − 1 y=\sqrt{x}-1 y = x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 1

y = x − 1 y=\sqrt{x-1} y = x − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

What transformation is represented by f ( − x ) f\left(-x\right) f ( − x ) ?

Rotation about the origin 180 degrees

Find f(3) in this piecewise function.

f(3) is undefined for this graph.

#3 PC Properties of Functions

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.IF.B.4, HSF-IF.C.7A, HSF-IF.C.7B

+1

Standards-aligned

Shayla Bushhousen

Used 25+ times

FREE Resource

34 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the domain of the graph?

[-∞,∞]

(-∞,∞)

[-3, 3]

(-3, 3)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of this function?
Please note the scale of the axis.

[-5, 5]

(1.5, 4)

[3, 8]

(-6, 6]

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the domain of the relation?
Please note the scale of the axis.

(-∞, ∞)

(-2, 2)

(-3, 3)

[-4, 5)

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the range of the function?
Please note the scale of the axis.

(-∞, 3]

(-∞, ∞)

[3, ∞)

(-6, 3]

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is the relation shown a function?

No, because not every input has a single output.

Yes, because every input does has a single output.

No, because every Y value is paired with an X value.

Yes, because every Y value is paired with an X value.

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is the relation shown in the mapping a function?

Yes, every Y value is paired with an X value.

Yes, because every input is paired with exactly one output.

No, not every Y value is pared once.

No, because not every input is paired with exactly one output.

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What are the local maxima of this graph?

local maximum at (2.2, 3.9)

local maximum at (-8, 5)

local maximum at (5, -8) & (3.9, 2.2)

local maximum at (-8, 5) & (2.2, 3.9)

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

30 questions

Revision on Sets / Ulangkaji Sets (KSSM Maths F4)

Quiz

•

9th - 12th Grade

30 questions

REMEDIAL MTK XII SMT GANJIL 2024

Quiz

•

12th Grade

37 questions

Geometria da posição

Quiz

•

12th Grade

30 questions

Sistema de Ecuaciones

Quiz

•

12th Grade

37 questions

Algebra 1 EOC Practice Part I

Quiz

•

9th - 10th Grade

31 questions

Exponential Function_Part_2

Quiz

•

11th Grade

30 questions

Prepa matemáticas 2

Quiz

•

10th Grade

35 questions

Quiz BELUM TUNTAS s1

Quiz

•

11th Grade

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

11 questions

How well do you know your Christmas Characters?

Lesson

•

3rd Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

20 questions

How the Grinch Stole Christmas

Quiz

•

5th Grade

Discover more resources for Mathematics

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

33 questions

Algebra 1 Semester 1 Final 2025

Quiz

•

8th - 10th Grade

10 questions

Exploring Global Holiday Traditions

Interactive video

•

6th - 10th Grade

10 questions

Guess the Christmas Movie by the Scene Challenge

Interactive video

•

6th - 10th Grade

10 questions

Guess the Christmas Songs Challenge

Interactive video

•

6th - 10th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

10 questions

Test Your Christmas Trivia Skills

Interactive video

•

6th - 10th Grade

15 questions

Holiday Trivia!

Quiz

•

9th Grade

#3 PC Properties of Functions

34 questions

What is the domain of the graph?

What is the range of this function?Please note the scale of the axis.

What is the domain of the relation?Please note the scale of the axis.

What is the range of the function?Please note the scale of the axis.

Is the relation shown a function?

Is the relation shown in the mapping a function?

What are the local maxima of this graph?

List the types of intervals that the graph demonstrates in order.

Approximately what interval(s) is the function decreasing?

What are all the x-intercepts?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

What is the range of this function?
Please note the scale of the axis.

What is the domain of the relation?
Please note the scale of the axis.

What is the range of the function?
Please note the scale of the axis.