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Giải bài 7.25 trang 30 sách bài tập toán 8 - Kết nối tri thức với cuộc sống

Cho hàm số \(y = \left( {1 - 2m} \right)x + 3.\) a) Với những giá trị nào của m thì hàm số đã cho là hàm số bậc nhất?

ඣTổng 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 \(y = \left( {1 - 2m} \right)x + 3.\) a) Với những giá trị nào của m thì hàm số đã cho là hàm số bậc nhất? b) Tìm m, biết đồ thị hàm số đã cho đi qua điểm \(\left( { - 1;4} \right)\). c) Với giá trị m tìm được ở câu b, hãy hoàn thành bảng giá trị sau vào vở:

 

Phương pháp giải - Xem chi tiết

📖a) Sử dụng khái niệm hàm số bậc nhất để tìm m: Hàm số bậc nhất là hàm số cho bởi công thức \(y = ax + b,\) trong đó a, b là các số cho trước và \(a \ne 0\)

🅺b) Thay tọa độ của điểm \(\left( { - 1;4} \right)\) vào hàm số đã cho để tìm m.

🍃c) Sử dụng giá trị của hàm số để tính: Cho hàm số \(y = f\left( x \right)\), nếu ứng với \(x = a\) ta có\(y = f\left( a \right)\) thì f(a) được gọi là giá trị của hàm số \(y = f\left( x \right)\) tại \(x = a\).

Lời giải chi tiết

a) Hàm số \(y = \left( {1 - 2m} \right)x + 3\) là hàm số bậc nhất khi \(1 - 2m \ne 0\), tức là \(m \ne \frac{1}{2}\)b) Đồ thị hàm số đi qua điểm \(\left( { - 1;4} \right)\) nên ta có: \(4 = \left( {1 - 2m} \right)\left( { - 1} \right) + 3\)\(2m - 1 = 1\)\(2m = 2\)\(m = 1\)c) Với \(m = 1\) thì ta có: \(y =  - x + 3\), ta có bảng:

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