Free Printable concavity

1.

concavity

a)

concave up only

b)

concave down only

c)

both concave up and down

d)

none

2.

Over what intervals is f(x) decreasing?

a)

(-∞, -1) ∪ (1, ∞)

b)

(-∞, -√3) ∪ (0, √3)

c)

(-1, 1)

d)

(-√3, 0) ∪ (√3, ∞)

3.

Identify where the function is decreasing.

a)

x < 0

b)

x > 0

c)

x < -3 , x > 3

d)

-3 < x < 3

4.

When is this function increasing?

a)

−2.5 < x < 2.5

b)

0 < x < 5

c)

0 < x < 55

d)

−5 < x < 0

5.

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

a)

decreasing, constant, increasing, constant

b)

increasing, decreasing, constant

c)

increasing, constant, increasing, constant

d)

increasing, constant, decreasing, constant

6.

What do we know about the slope for increasing functions?

a)

The slope is positive

b)

The slope is negative

c)

There is zero slope

7.

Identify where the function is positive.

a)

$x<-5\ \ ,\ \ \ x>0$

b)

$-5<x<0\ \ ,\ \ \ x>6$

c)

$x<-5\ \ ,\ 0<x<6$

d)

$x>-5\ \ ,\ \ \ x<6$

8.

The intervals in which the function f given by f (x) = x² – 4x + 6 is increasing is

a)

$\left(-\infty,\ 2\right)$

b)

$\left(2,\ \infty\right)$

c)

$\left(-\infty,\ \infty\right)$

d)

none of these

9.

The logarithmic function is increasing on

a)

$\left(0,\ 1\right)$

b)

$\left(0,\ \infty\right)$

c)

$\left(1,\ \infty\right)$

d)

$\left(-\infty,\ \infty\right)$

10.

The interval on which the function f (x) = 2x³ + 9x² + 12x – 1 is decreasing is:

a)

$\left[-1,\ \infty\right)$

b)

$\left[-2,\ -1\right]$

c)

$\left(-\infty,\ -2\right]$

d)

$\left[-1,\ 1\right]$

11.

What are all intervals on which the graph of f is concave down?

a)

-1 < x < 1

b)

0 < x < 2

c)

1 < x < 3 ONLY

d)

-2 < x < -1 ONLY

e)

-2 < x < -1 AND 1 < x < 3

12.

concavity

a)

concave up only

b)

concave down only

c)

both concave up and down

d)

none

13.

At which following point does the graph of f(x) appear to be transitioning from concave down to concave up?

a)

B

b)

E

c)

G

d)

H

14.

Over which interval is the graph of f(x) both decreasing and concave up?

a)

(B, C)

b)

(D, E)

c)

(C, D)

d)

(H, I)

15.

Determine the concavity of this graph.

a)

Concave Up

b)

Concave Down

c)

Neither (Linear)

16.

Determine the concavity of this graph.

a)

Concave up

b)

Concave down

c)

Neither (linear)

17.

The function, w(t), represented in the table is

a)

increasing and concave up.

b)

increasing and concave down.

c)

decreasing and concave up.

d)

decreasing and concave down.

18.

Find the intervals of concavity for

f(x) = x² + 2x + 1.

a)

concave up: (-∞,∞)

b)

concave down: (-∞,∞)

c)

concave up: (2, ∞)

concave down: (-∞,2)

d)

concave up: (-∞,2)

concave down: (2, ∞)

19.

What is the concavity of $f\left(x\right)=x^4$ at $x=2$ ?

a)

Concave up

b)

Concave down

c)

Neither

20.

Is the function $f\left(x\right)=x^4$ concave up for all real numbers?

a)

Yes

b)

No

21.

At which interval is $f\left(x\right)=x^3+x^2-x-1$ concave up?

a)

$\left(-\infty,-\frac{1}{3}\right)$

b)

$\left(-\frac{1}{3},\infty\right)\$

c)

All real numbers

d)

$\left(-1,1\right)$

22.

At which interval is $f\left(x\right)=x^3+x^2-x-1$ concave down?

a)

$\left(-\infty,-\frac{1}{3}\right)$

b)

$\left(-\frac{1}{3},\infty\right)\$

c)

All real numbers

d)

$\left(-1,1\right)$

23.

Describe the concavity of the following graph.

a)

Concave Left

b)

Concave Right

c)

Concave Up

d)

Concave Down

24.

Minimum or Maximum?

a)

Minimum

b)

Maximum

c)

Both

d)

None

25.

Look at the graph. What is the point shown called? Select all that apply.

a)

Minimum

b)

Maximum

c)

Vertex

d)

Zeros

26.

Determine if the following equation is linear or quadratic.

f\left(x\right)\ =\ 7x^2\ +\ 13

a)

Both

b)

None

c)

Linear

d)

Quadratic

27.

What is the only flying mammal?

a)

Bat

b)

Flying Squirrel

c)

Bald Eagle

d)

Owl

28.

What is this up close object?

a)

Brown stone

b)

insect nest

c)

Chocolate bar

d)

Brown sponge

29.

A thermometer is used to measure what?

a)

How thirsty you are

b)

The coldness of water

c)

The temperature

d)

How deep a pool is

30.

Who is this?

a)

Cinderella

b)

Belle

c)

Tiana

d)

Snow White

31.

What is this up close object?

a)

Soda

b)

Honey

c)

Fly trap

d)

Soap

32.

In Dr. Seuss, who asked do you like green eggs and ham?

a)

Cat in the Hat

b)

Mr. Knox

c)

Horton

d)

Sam I am

33.

What year was the first model of the iPhone released?

a)

2003

b)

2005

c)

2007

d)

2009

34.

Which planet is the hottest in the solar system?

a)

Mercury

b)

Venus

c)

Earth

d)

Mars

35.

What is your body's largest organ?

a)

Kidneys

b)

Lungs

c)

Skin

d)

Liver

36.

What language has the most words?

a)

Chinese

b)

English

c)

Russian

d)

Spanish

37.

Who is the richest person in the world as of 2022?

a)

Elon Musk

b)

Jeff Bezos

c)

Bill Gates

d)

Warren Buffett

38.

How many bones do sharks have in their bodies?

a)

0

b)

17

c)

63

d)

228

39.

What is the world's longest river?

a)

Amazon

b)

Nile

c)

Yarra

d)

Congo

40.

What is the rarest M&M colour?

a)

Blue

b)

Red

c)

Brown

d)

Green

41.

What is the name of the fictional game in the 'Harry Potter' series?

a)

Apopudubalia

b)

Jugger

c)

Blernsball

d)

Quidditch

42.

What was the first spell Harry wanted to teach Dumbledore's Army?

a)

Alohomora

b)

Expelliarmus

c)

Impirius

d)

Baubillious

43.

What movie the clip from?

a)

Aquaman

b)

Despicable Me

c)

Secret Life of Pets

d)

Frozen

44.

What dance craze did this kid create?

a)

Floss

b)

Dab

c)

Kiki

d)

Dougie

45.

What character is this?

a)

Mr. Krabs

b)

Squidward

c)

Sponge Bob

d)

Patrick

46.

Question: What movie in 2019 topped Avatar as the highest-grossing film of all time?

a)

Captain Marvel

b)

Star Wars

c)

Avengers: Endgame

47.

Guess the celebrity

(a)

48.

Guess the celebrity

(a)

49.

What app is this?

a)

Twitter

b)

Instagram

c)

Slader

d)

Snapchat

50.

What is this book series called?

a)

Harry Potter

b)

Divergent

c)

Series of Unfortunate Events

d)

Percy Jackson

51.

Which Disney movie did NOT debut in the 90s?

a)

Tarzan

b)

Beauty and the Beast

c)

The Little Mermaid

d)

The Lion King

52.

What was the name of this toy used to create a virtual pet?

a)

Tamagotchi

b)

Beeper

c)

Furby

d)

Beyblade

53.

What did this company make?

a)

My Little Pony

b)

Beanie Babies

c)

Cabbage Patch Kids

d)

Troll Dolls

54.

In what year did the World Wide Web debut to the general public?

a)

1993

b)

1997

c)

1991

d)

1990

55.

who is Paul McCartney

a)

A Singer

b)

A actor

c)

A physicist

d)

A scientist

56.

What core subject are you required to take all 4 years of high school?

a)

Math

b)

English

c)

Social Studies

d)

Science

57.

What is the highest ACT score you can get?

a)

36

b)

35

c)

37

d)

34

58.

What is the highest score you can get on the SAT?

a)

1400

b)

1500

c)

1600

d)

1700

59.

What does a cosmetology expert deal with?

a)

Film

b)

Arts

c)

Entertainment

d)

Beauty

concavity

Total questions: 59

Worksheet time: 44mins

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