# A description : the function f is decreasing where its graph is falling as we go from left to right.

## Full text

(1)

DNL 1ère Maths / English

### FUNCTIONS – I

NTRODUCTIONII Worksheet #1-1-2

x1

x2

ax1x2b

f

x1

f

x2

fx1fx2

### examples

Vocabulary codomain – decreasing – increasing – monotone – monotonic – strictly

2014 / 15 - 1ère - Worksheet #1-1-2 FUNCTIONS – INTRODUCTIONII page 1/2

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fxfy

f

x

f

y

x

x

f

x

x

### then its graph C is .

figure 1 – graph of

Exercise 1 – f

x

2

### −

xUsing a sign-table, express f(x) without modulus within 2 intervals and draw its graph

### C

in an orthonormal system of axes, taking 1 cm to 1 unit. What do you notice about

### C

?

Exercise 2 – gx=4−

x

### ∣

What do you notice about g and what can you deduce about its graph

? Draw

### C '

in the same system as

### C

.

Exercise 3 – Shade the area in which a point P can lie if its

coordinates satisfy the system of simultaneous inequalities :

yy

42

### −−

xx

Vocabulary absolute value – greatest – least – local – maximum (maxima) – minimum (minima) – modulus – neighbourhood – strict – to attain

2014 / 15 - 1ère - Worksheet #1-1-2 FUNCTIONS – INTRODUCTIONII page 2/2

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## References

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