2007
Wed
9
May

# Functions - Dedicated to All Stubborn Students

(11)
Posted at 5:57 pm

The title says it all. Today’s question is for all you stubborn (or lazy) buggers out there. This is an exam favourite that is almost certain to appear in either Paper 1 or Paper 2 or even both.

For various reasons, however, roughly 80% of Miss Loi’s students couldn’t get this right – most of the time purely down to plain stubbornness or laziness. Tsk!

Sketch the graph of h : x|1-(1/2)x| + 2 for -2 ≤ x ≤ 6.

State the range corresponding to the given domain.

To succeed in this question, first satisfy yourself that you really know what on earth is range and what is domain.

Next, R.E.A.D out loud 10 times to yourself the following three words: SKETCH THE GRAPH!!! Make sure you’re alone when you do this to avoid being sent to IMH.

Simple isn’t it? That’s what the question says right at the start anyway.

But do be surprised at the sheer number of stubborn students who cannot for the life of them accept having to sketch a simple graph in a functions question and instead insist on solving by substitution. Yeah yeah, it’s the era of thinking out of the box. You’re a non-conformist. It’s not cool to follow instructions … blah blah blah.

To these students, Miss Loi says “Go ahead!”. You might still get your answer (most often you don’t lol) but please do yourselves a favour by not trying such stunts under exam conditions when time is of essence. Try it instead when you’re alone on a Valentine’s night. Most exam questions are structured in such a way that you can complete in a reasonable amount of time provided you follow what they say.

This is not the Maths Olympiad!

### Revision Exercise

To show that you have understood what Miss Loi just taught you, you must:

1. 2007
May
9
Wed
7:57pm

1

you know what? i got my education in Malay, so i really have problem trying to translate all these mathematics term from english back to malay so that i can understand the question... so i am skipping this.

2. 2007
May
10
Thu
11:06am

2

Nyamuk kecil,

Pertanyaan ini dak panjang. Mana mu dak faham? Cik Loi coba try menulis bahasa:
---
Sila melukis graf untuk h : x → |1-(1/2)x| 2 for -2 ≤ x ≤ 6.

Jadi katakan rangenya untuk domainnya di atas.
---

Minta maaf bahasa rojak saya

Nyamuk sangat pandai pasti dak apa lah!

3. zee says

2007
May
10
Thu
11:10am

3

Wah.. u noe Malay too??
Wait.. let me see ur profile, u singaporean rite?

4. 2007
May
10
Thu
11:33am

4

Hehe, Zee like you Miss Loi is Truly Asia!

Tapi sudah lama dak cakap lah.

5. 2007
May
10
Thu
1:16pm

5

i think your malay more indonesian than malaysian... that is from the way certain words are spelled lah... but you trully asia? i think is trully Asean lah...

6. 2007
May
10
Thu
2:21pm

6

Truely rojak lah. Hahaha...

P.S. Just realized both of us spelt "truely" wrong - truely atrocious!

7. br says

2007
May
11
Fri
12:26am

7

Isnt it truly? Ha. Hi!

8. 2007
May
11
Fri
4:40am

8

Damn. Was actually reading this when this was posted.

But "truely" does look more 'correct' than "truly" at first glance (to her anyway).

Now you know why Miss Loi can't be an English teacher!

9. john says

2007
Oct
23
Tue
12:31am

9

uh just draw |1-(1/2)x| den just shift up two units rite

10. 2007
Oct
23
Tue
2:16am

10

Righto John!

Range: {y : 2 ≤ y ≤ 4, y ∈ R}
Domain: {x : -2 ≤ x ≤ 6, x ∈ R}

There you have it. Don't forget to state the range!

11. Nan says

2009
Apr
12
Sun
10:18pm

11

it make me confusing....

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