Operations with Functions and Domain Restrictions

© 2022 A game by Ms. Sipos

Division of Functions and DOmain Restrictions

Bowser

's

dungeon

Start game

Legend says that a faraway kingdom forged a sword that together with the power of the Elemental Gems (fire, water, air, and earth) could defeat any evil. Gather the gems to assemble the ultimate weapon and defeat Bowser.

Start game

Thank goodness you’ve come, Mario! We need your help! You need to find the 3 Elemental Gems so that the sword has enough power to defeat Bowser...

Help us, only a person like you can do it!

Of course!

No thank you, I’ll pass

Ouch! I thought you were cool ... What will become of us?!

Hehehe, I was kidding. Ahem, of course I’ll help you

I knew you would not fail me! Thanks a lot! Here is the mighty sword. Now gather the Elemental Gems to power up and defeat Bowser.

LEVEL 1 - EARTH GEM

EARTH GEM

Watch out, Boo is in your way! Get the earth gem by passing a quiz about domain and range.

Start level

Where do you think you’re going, mortal?! You won’t be worthy of the Earth Gem until you get all my questions correct. Do you dare to try?

<

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1. In interval notation, what is the domain of the function?

Using interval notation, what is the domain of the function?

Using interval notation, what is the domain of the function?

4. In interval notation, what is the domain of the function?

Congratulations!! Here is your reward, you have earned it

Hmmmmmm...are you sure?

I can do it! Give me another chance.

LEVEL 2 - Water GEM

Water GEM

Choose the correct domain restrictions to get out of the room alive and earn the water gem.

Start level

f(x)=

g(x)=

1. For what value of x is the denominator of (f/g)(x)= 0?

x=-2

x=0

f(x)=

g(x)=

2. For what value of x is the denominator of (f/g)(x)= 0?

x= -3/2

x= -2/3

f(x)=

g(x)=

3. For what value of x is the denominator of (g/f)(x)= 0?

x= -(5)1/2

None

f(x)=

g(x)=

4. For what value of x is the denominator of (g/f)(x)= 0?

x= 0

x= -1/3

f(x)=

g(x)=

x= -2, 2

x= -1

5. For what value of x is the denominator of(g/f)(x)= 0?

You got the Water Gem!

Not Quite!

Try again

Exit

LEVEL 3 - FIRE GEM

FIRE GEM

Evaluate each function.

Start level

1. Evaluate g(3)-h(3)

-16

12

2. Evaluate (g+h)(3)

17

18

3. Evaluate (g*h)(3)

17

-11

18

4. Evaluate (g+h)(2)

-3

You got the Fire Gem!

Not QUite!

Try again

Exit

FINAL LEVEL - DRAGON

Defeat Bowser!

How dare you bother me, you fool!

You Win!

You defeated Bowser, and the kingdom is at peace again. You are a legend!

© 2022 A game by Ms. Sipos

What will become of us!

SURE YOU WANT TO GO OUT?

Stay

Exit