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Giải bài 4 trang 48 vở thực hành Toán 8 tập 2

Cho hàm số y = (m – 1)x – m + 4. a) Vẽ đồ thị của hàm số khi m = -2.

𓆏Tổng hợp đề thi học kì 2 lớp 8 tất cả các môn - Kết nối tri thức

Toán - Văn - Anh - Khoa học tự nhiên
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Đề bài

Cho hàm số y = (m – 1)x – m + 4. a) Vẽ đồ thị của hàm số khi m = -2. b) Tìm điều kiện của m để hàm số đã cho là hàm số bậc nhất. c) Tìm giá trị của m để đồ thị hàm số đã cho đi qua điểm (2; -3).

Phương pháp giải - Xem chi tiết

a) Thay m = -2 vào hàm số, xác định hai điểm thuộc đồ thị hàm số đó để vẽ đồ thị hàm số.

b) Dựa vào khái niệm hàm số bậc nhất: Hàm số bậc nhất𒀰 là hàm số được cho bởi công thức y = ax + b, trong đó a, b là các số cho trước và a ≠ 0.

c) Thay điểm (2; -3) vào hàm số để tìm m.

Lời giải chi tiết

a) Thay m = -2, ta được y = (-2 – 1)x – (-2) + 4 => y = -3x + 6.Cho x = 0 thì y = 6, ta được giao điểm của đồ thị với trục Oy là A(0; 6).Cho y = 0 thì x = 2, ta được giao điểm của đồ thị với trục Ox là B(2; 0).Kẻ đường thẳng đi qua hai điểm A và B, ta được đồ thị của hàm số y = -3x + 6 như hình bên:

 

b) Hàm số đã cho là hàm bậc nhất khi m – 1 ≠ 0, tức là m ≠ 1.c) Vì đồ thị hàm số đi qua điểm (2; -3) nên ta có:-3 = (m – 1).2 –m + 4-3 = 2m – 2 – m + 4m = -5Vậy m = - 5.

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