Mat Teste Diagnostico
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Departamento de Economia e Gest˜ ao Teste diagn´ ostico — Matem´ atica I Indique se as seguintes afirma¸c˜ oes s˜ ao verdadeiras (V) ou falsas (F) para qualquer x > 0.
√
x+3=
√
x+
√
3
Outubro 2006 7.
.
x2 + x =x x+1 x2 x2 = +x 2x + 1 2x
8.
Calcule as seguintes express˜ oes. Escreva na reposta apenas o resultado final.
1 1 + = 2 3
4 5 2. 1 3
3.
3 2
7
=
(a)
25
(b)
26
(c)
Nenhuma das anteriores
(32 )3 = (a)
35
(b)
36
(c)
38
(d)
Nenhuma das anteriores
2
9. 1.
22 × 23
10.
=
23 = (a)
25
(b)
26
(c)
29
(d)
Nenhuma das anteriores
|3 − x| = (a)
3−x
(b)
|3| − |x| 3 − x, −3 + x, 3 − x, −3 + x,
(c) (d)
4.
5.
2 − 3
se x ≤ 3 se x > 3 se x ≥ 0 se x < 0
2 =
| − 3| =
Assinale com uma cruz a resposta que considera correcta. 2 3 6. 2 + 2 = (a)
25
(b)
26
(c)
Nenhuma das anteriores
Indique as solu¸c˜oes das seguintes equa¸c˜oes
11.
2x − 3 = 4
12.
−x + 1 = 2
13.
5 − x ≤ 10
14.
−5x > 2
16.
lim x2 =
x→−∞
Calcule os seguintes limites
15.
1 = x→+∞ x lim
Teste diagn´ ostico — Matem´ atica I
17.
2
1 = x→0 x2 lim
Outubro 2006
Departamento de Economia e Gest˜ ao Teste diagn´ ostico — Matem´ atica I Solu¸c˜ oes
√ F
Outubro 2006
x+3=
√
x+
√
3
6. (c)
.
7. (a)
x2 + x =x x+1 x2 x2 = +x 2x + 1 2x
V
F
8. (b) 9. (c) 10. (c) 11.
1.
1 1 5 + = 2 3 6
4 5 2. 1 3 3.
4. 5.
3 2
12. 13.
12 = 5
14.
3 7 14 2 4 2 = − 3 9 =
15. 16.
| − 3| = 3
17.
1
7 2 x = −1 x ≥ −5 2 x<− 5 1 lim =0 x→+∞ x x=
lim x2 = +∞
x→−∞
1 = +∞ x→0 x2 lim
√
x+3=
√
x+
√
3
Outubro 2006 7.
.
x2 + x =x x+1 x2 x2 = +x 2x + 1 2x
8.
Calcule as seguintes express˜ oes. Escreva na reposta apenas o resultado final.
1 1 + = 2 3
4 5 2. 1 3
3.
3 2
7
=
(a)
25
(b)
26
(c)
Nenhuma das anteriores
(32 )3 = (a)
35
(b)
36
(c)
38
(d)
Nenhuma das anteriores
2
9. 1.
22 × 23
10.
=
23 = (a)
25
(b)
26
(c)
29
(d)
Nenhuma das anteriores
|3 − x| = (a)
3−x
(b)
|3| − |x| 3 − x, −3 + x, 3 − x, −3 + x,
(c) (d)
4.
5.
2 − 3
se x ≤ 3 se x > 3 se x ≥ 0 se x < 0
2 =
| − 3| =
Assinale com uma cruz a resposta que considera correcta. 2 3 6. 2 + 2 = (a)
25
(b)
26
(c)
Nenhuma das anteriores
Indique as solu¸c˜oes das seguintes equa¸c˜oes
11.
2x − 3 = 4
12.
−x + 1 = 2
13.
5 − x ≤ 10
14.
−5x > 2
16.
lim x2 =
x→−∞
Calcule os seguintes limites
15.
1 = x→+∞ x lim
Teste diagn´ ostico — Matem´ atica I
17.
2
1 = x→0 x2 lim
Outubro 2006
Departamento de Economia e Gest˜ ao Teste diagn´ ostico — Matem´ atica I Solu¸c˜ oes
√ F
Outubro 2006
x+3=
√
x+
√
3
6. (c)
.
7. (a)
x2 + x =x x+1 x2 x2 = +x 2x + 1 2x
V
F
8. (b) 9. (c) 10. (c) 11.
1.
1 1 5 + = 2 3 6
4 5 2. 1 3 3.
4. 5.
3 2
12. 13.
12 = 5
14.
3 7 14 2 4 2 = − 3 9 =
15. 16.
| − 3| = 3
17.
1
7 2 x = −1 x ≥ −5 2 x<− 5 1 lim =0 x→+∞ x x=
lim x2 = +∞
x→−∞
1 = +∞ x→0 x2 lim
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