Cho đồ thị của hai hàm số
$$f$$ và
$$g$$.
Hỏi hàm số nào liên tục trên
$$[0~;5]$$?
Hãy chọn 1 đáp án:
Hãy chọn 1 đáp án:
(Đáp án A) Function f is graphed. The x-axis goes from negative 6 to 6. The graph consists of a curve and a closed circle. The curve starts in quadrant 2, moves downward to about (negative 4, negative 0.7), moves upward to about (0.5, 1.2), moves downward through an open circle at (2, negative 1.3) to about (3.2, negative 3.6), moves upward, and ends at about (6, 6). The closed circle is plotted at (2, 2).
$$\small{1}$$
$$\small{2}$$
$$\small{3}$$
$$\small{4}$$
$$\small{5}$$
$$\small{\llap{-}1}$$
$$\small{\llap{-}2}$$
$$\small{\llap{-}3}$$
$$\small{\llap{-}4}$$
$$\small{\llap{-}5}$$
$$\small{1}$$
$$\small{2}$$
$$\small{3}$$
$$\small{4}$$
$$\small{5}$$
$$\small{\llap{-}1}$$
$$\small{\llap{-}2}$$
$$\small{\llap{-}3}$$
$$\small{\llap{-}4}$$
$$\small{\llap{-}5}$$
$$y$$
$$x$$
$$\blueD f$$

A
Function f is graphed. The x-axis goes from negative 6 to 6. The graph consists of a curve and a closed circle. The curve starts in quadrant 2, moves downward to about (negative 4, negative 0.7), moves upward to about (0.5, 1.2), moves downward through an open circle at (2, negative 1.3) to about (3.2, negative 3.6), moves upward, and ends at about (6, 6). The closed circle is plotted at (2, 2).
$$\small{1}$$
$$\small{2}$$
$$\small{3}$$
$$\small{4}$$
$$\small{5}$$
$$\small{\llap{-}1}$$
$$\small{\llap{-}2}$$
$$\small{\llap{-}3}$$
$$\small{\llap{-}4}$$
$$\small{\llap{-}5}$$
$$\small{1}$$
$$\small{2}$$
$$\small{3}$$
$$\small{4}$$
$$\small{5}$$
$$\small{\llap{-}1}$$
$$\small{\llap{-}2}$$
$$\small{\llap{-}3}$$
$$\small{\llap{-}4}$$
$$\small{\llap{-}5}$$
$$y$$
$$x$$
$$\blueD f$$
(Đáp án B) Function g is graphed. The x-axis goes from negative 6 to 6. The graph consists of a curve and 2 closed circles. The curve starts in quadrant 2, moves downward to about (negative 5.2, 1.2), moves upward to about (negative 3, 2.7), moves downward through an open circle at about (negative 1, 0.5) to an open circle at about (2, negative 4.3), moves upward, and ends at about (6, 3.2). The closed circles are plotted at (negative 1, negative 2) and (2, 0).
$$\small{1}$$
$$\small{2}$$
$$\small{3}$$
$$\small{4}$$
$$\small{5}$$
$$\small{\llap{-}1}$$
$$\small{\llap{-}2}$$
$$\small{\llap{-}3}$$
$$\small{\llap{-}4}$$
$$\small{\llap{-}5}$$
$$\small{1}$$
$$\small{2}$$
$$\small{3}$$
$$\small{4}$$
$$\small{5}$$
$$\small{\llap{-}1}$$
$$\small{\llap{-}2}$$
$$\small{\llap{-}3}$$
$$\small{\llap{-}4}$$
$$\small{\llap{-}5}$$
$$y$$
$$x$$
$$\goldD g$$

B
Function g is graphed. The x-axis goes from negative 6 to 6. The graph consists of a curve and 2 closed circles. The curve starts in quadrant 2, moves downward to about (negative 5.2, 1.2), moves upward to about (negative 3, 2.7), moves downward through an open circle at about (negative 1, 0.5) to an open circle at about (2, negative 4.3), moves upward, and ends at about (6, 3.2). The closed circles are plotted at (negative 1, negative 2) and (2, 0).
$$\small{1}$$
$$\small{2}$$
$$\small{3}$$
$$\small{4}$$
$$\small{5}$$
$$\small{\llap{-}1}$$
$$\small{\llap{-}2}$$
$$\small{\llap{-}3}$$
$$\small{\llap{-}4}$$
$$\small{\llap{-}5}$$
$$\small{1}$$
$$\small{2}$$
$$\small{3}$$
$$\small{4}$$
$$\small{5}$$
$$\small{\llap{-}1}$$
$$\small{\llap{-}2}$$
$$\small{\llap{-}3}$$
$$\small{\llap{-}4}$$
$$\small{\llap{-}5}$$
$$y$$
$$x$$
$$\goldD g$$
(Đáp án C) Không có đáp án đúng

Question

Cho đồ thị của hai hàm số 
$$f$$ và 
$$g$$.
Hỏi hàm số nào liên tục trên 
$$[0~;5]$$?
Hãy chọn 1 đáp án:
Hãy chọn 1 đáp án:
(Đáp án A)   Function f is graphed. The x-axis goes from negative 6 to 6. The graph consists of a curve and a closed circle. The curve starts in quadrant 2, moves downward to about (negative 4, negative 0.7), moves upward to about (0.5, 1.2), moves downward through an open circle at (2, negative 1.3) to about (3.2, negative 3.6), moves upward, and ends at about (6, 6). The closed circle is plotted at (2, 2).
$$\small{1}$$
$$\small{2}$$
$$\small{3}$$
$$\small{4}$$
$$\small{5}$$
$$\small{\llap{-}1}$$
$$\small{\llap{-}2}$$
$$\small{\llap{-}3}$$
$$\small{\llap{-}4}$$
$$\small{\llap{-}5}$$
$$\small{1}$$
$$\small{2}$$
$$\small{3}$$
$$\small{4}$$
$$\small{5}$$
$$\small{\llap{-}1}$$
$$\small{\llap{-}2}$$
$$\small{\llap{-}3}$$
$$\small{\llap{-}4}$$
$$\small{\llap{-}5}$$
$$y$$
$$x$$
$$\blueD f$$

A
Function f is graphed. The x-axis goes from negative 6 to 6. The graph consists of a curve and a closed circle. The curve starts in quadrant 2, moves downward to about (negative 4, negative 0.7), moves upward to about (0.5, 1.2), moves downward through an open circle at (2, negative 1.3) to about (3.2, negative 3.6), moves upward, and ends at about (6, 6). The closed circle is plotted at (2, 2).
$$\small{1}$$
$$\small{2}$$
$$\small{3}$$
$$\small{4}$$
$$\small{5}$$
$$\small{\llap{-}1}$$
$$\small{\llap{-}2}$$
$$\small{\llap{-}3}$$
$$\small{\llap{-}4}$$
$$\small{\llap{-}5}$$
$$\small{1}$$
$$\small{2}$$
$$\small{3}$$
$$\small{4}$$
$$\small{5}$$
$$\small{\llap{-}1}$$
$$\small{\llap{-}2}$$
$$\small{\llap{-}3}$$
$$\small{\llap{-}4}$$
$$\small{\llap{-}5}$$
$$y$$
$$x$$
$$\blueD f$$
(Đáp án B)   Function g is graphed. The x-axis goes from negative 6 to 6. The graph consists of a curve and 2 closed circles. The curve starts in quadrant 2, moves downward to about (negative 5.2, 1.2), moves upward to about (negative 3, 2.7), moves downward through an open circle at about (negative 1, 0.5) to an open circle at about (2, negative 4.3), moves upward, and ends at about (6, 3.2). The closed circles are plotted at (negative 1, negative 2) and (2, 0).
$$\small{1}$$
$$\small{2}$$
$$\small{3}$$
$$\small{4}$$
$$\small{5}$$
$$\small{\llap{-}1}$$
$$\small{\llap{-}2}$$
$$\small{\llap{-}3}$$
$$\small{\llap{-}4}$$
$$\small{\llap{-}5}$$
$$\small{1}$$
$$\small{2}$$
$$\small{3}$$
$$\small{4}$$
$$\small{5}$$
$$\small{\llap{-}1}$$
$$\small{\llap{-}2}$$
$$\small{\llap{-}3}$$
$$\small{\llap{-}4}$$
$$\small{\llap{-}5}$$
$$y$$
$$x$$
$$\goldD g$$

B
Function g is graphed. The x-axis goes from negative 6 to 6. The graph consists of a curve and 2 closed circles. The curve starts in quadrant 2, moves downward to about (negative 5.2, 1.2), moves upward to about (negative 3, 2.7), moves downward through an open circle at about (negative 1, 0.5) to an open circle at about (2, negative 4.3), moves upward, and ends at about (6, 3.2). The closed circles are plotted at (negative 1, negative 2) and (2, 0).
$$\small{1}$$
$$\small{2}$$
$$\small{3}$$
$$\small{4}$$
$$\small{5}$$
$$\small{\llap{-}1}$$
$$\small{\llap{-}2}$$
$$\small{\llap{-}3}$$
$$\small{\llap{-}4}$$
$$\small{\llap{-}5}$$
$$\small{1}$$
$$\small{2}$$
$$\small{3}$$
$$\small{4}$$
$$\small{5}$$
$$\small{\llap{-}1}$$
$$\small{\llap{-}2}$$
$$\small{\llap{-}3}$$
$$\small{\llap{-}4}$$
$$\small{\llap{-}5}$$
$$y$$
$$x$$
$$\goldD g$$
(Đáp án C)   Không có đáp án đúng

Accepted Answer

Để xác định hàm số nào liên tục trên đoạn [0, 5], chúng ta cần kiểm tra tính liên tục của mỗi hàm số trên đoạn này.

Kiểm tra tính liên tục của hàm số $ f $:
- Hàm số $ f $ có một điểm gián đoạn tại $ x = 2 $ vì có một vòng tròn mở ở điểm đó (điểm $ (2, -1.3) $).
- Do đó, hàm số $ f $ không liên tục trên đoạn [0, 5].

Kiểm tra tính liên tục của hàm số $ g $:
- Hàm số $ g $ có hai điểm gián đoạn tại $ x = -1 $ và $ x = 2 $ vì có hai vòng tròn mở ở các điểm đó (điểm $ (-1, 0.5) $ và $ (2, -4.3) $).
- Do đó, hàm số $ g $ cũng không liên tục trên đoạn [0, 5].

Kết luận:
Cả hai hàm số $ f $ và $ g $ đều có điểm gián đoạn trên đoạn [0, 5]. Vì vậy, không có hàm số nào liên tục trên đoạn [0, 5].

Đáp án: C. Không có đáp án đúng.

Cho đồ thị của hai hàm số và . Hỏi hàm số nào liên tục trên ? Hãy chọn 1 đáp án: Hãy chọn 1 đáp án: (Đáp án A) Function f is graphed. The x-axis goes from negative 6 to 6. The g...