函數與函數的極限

Authored by 胡馨尹xinyinhu 胡馨尹xinyinhu

Mathematics

9th - 12th Grade

Used 2+ times

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10 questions

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MULTIPLE CHOICE QUESTION

3 mins • 3 pts

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

合成函數 $f\circ g\left(x\right)=\ f\left(g\left(x\right)\right)$ 與 $g\circ f\left(x\right)=\ g\left(f\left(x\right)\right)$

兩者相等

兩者不相等

MULTIPLE SELECT QUESTION

3 mins • 5 pts

關於「偶函數」下列敘述哪些正確？

$f\left(x\right)=5x^4+3\$ 為偶函數

$f\left(x\right)=-x^4+3x^2$ 為偶函數

$f\left(x\right)=x^6+2x$ 為偶函數

偶函數的函數圖形
「對稱於 y 軸」

若 $f\left(x\right)$ 為偶函數，則 $f\left(a\right)=f\left(-a\right)$

MULTIPLE SELECT QUESTION

3 mins • 5 pts

關於「奇函數」，下列敘述哪些正確？

$f\left(x\right)=x^3+x$ 為奇函數

$f\left(x\right)=x^3+1$ 為奇函數

$f\left(x\right)=\sin\ x$ 為奇函數

奇函數的函數圖形對稱於「原點」

若 $f\left(x\right)$ 為奇函數，則 $f\left(-a\right)=-f\left(a\right)$

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

極限 $\lim_{x\rightarrow-1}\left(\left(2x+1\right)^9+3\right)$ 的值為？

-6

-1

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函數與函數的極限

合成函數 f∘g(x)= f(g(x))f\circ g\left(x\right)=\ f\left(g\left(x\right)\right)f∘g(x)= f(g(x)) 與 g∘f(x)= g(f(x))g\circ f\left(x\right)=\ g\left(f\left(x\right)\right)g∘f(x)= g(f(x))

關於「偶函數」下列敘述哪些正確？

關於「奇函數」，下列敘述哪些正確？

極限 lim⁡x→−1((2x+1)9+3)\lim_{x\rightarrow-1}\left(\left(2x+1\right)^9+3\right)x→−1lim​((2x+1)9+3) 的值為？

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Discover more resources for Mathematics

合成函數 $f\circ g\left(x\right)=\ f\left(g\left(x\right)\right)$ 與 $g\circ f\left(x\right)=\ g\left(f\left(x\right)\right)$

極限 $\lim_{x\rightarrow-1}\left(\left(2x+1\right)^9+3\right)$ 的值為？