Feng Chia university 112-1 PDI Program Homework ONE (due by 10/6)
A) Show all detail work.
1. What is the domain of the function
2. What is the domain of the function
f(x) =
f(x)= √4 − 𝑥 .
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⼆
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3. Solve for x, 5
log
4. Solve for x, log (5𝑥 − 4) = 3
=9
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log 15不4
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75X4 8
5九⼆ 12
不
5. Find the limit lim
→
10
=
by completing the following table
X
4.99 4.999 5
𝑥 − 25
𝑥 − 5 quq qqqq
il
你
8
10.001
6.Find the values of the trigonometric
function:
三⾓函數
a)
5.001 5.01
1001
感
È
=
ÈǗ
sin( ) =
b) cos
c) 𝑠𝑖𝑛
+ 𝑐𝑜𝑠
it Īl
=
1
7. Find the limit by factorization
𝑥 −4
lim
→ 𝑥 −𝑥−2
8. Find the limit by rationalization,
√𝑥 + 2 − √2
lim
→
𝑥
嚇
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現 機
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恐嚇
10. Find the limits
9. Find the one-sided limit lim 𝑓(𝑥) and
→
(a) lim
→
lim 𝑓(𝑥) and the limit lim 𝑓(𝑥), if it exists, of
→
關
⼆
| |
and
| |
(b) lim
→
→
the function f(x) =
d
−2𝑥 + 5, 𝑥 > 1
3𝑥 − 4, 𝑥 < 1
1 2九⼗5 3
想
想3 4
喈 ǘ
i3 ⽜ 1
⼈
想
horizontal asymptote(s) to f(𝑥 ) =
flxkǜih
恐
想
to
咖 ⼠0
杜 2are An
年
⼆ ⼀
倒 DNE
11. Find the vertical asymptote(s) and
比
想回
ii
giǜ 3
3
⼆
y 3is HA
12. Find the horizontal asymptote(s)
.
to f(𝑥 ) =
√
.
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7
䬙
想 恐 ii 年
⼆
y 塠 are HA