Fungsi f dinyatakan dengan rumus f(x) 1/2x + 3 Tentukan besar perubahan nilai fungsi f, jika: a. Nilai x bertambah 4 b. Nilai x berkurang 6

Besar perubahn nilai fungsi dinyatakn dg rumus: [tex]f(x_{2})[/tex] - [tex]f(x_{1})[/tex]
[tex]f(x_{1})[/tex] = 1/2x + 3
a. [tex]x_{2}[/tex] = [tex]x_{1}[/tex] + 4
[tex]f(x_{2})[/tex] = 1/2([tex]x_{1}[/tex] + 4) + 3
[tex]f(x_{2})[/tex] = 1/2x + 2 + 3
[tex]f(x_{2})[/tex] = 1/2x + 5
[tex]f(x_{2})[/tex] - [tex]f(x_{1})[/tex] = (1/2x + 5) - (1/2x + 3)
[tex]f(x_{2})[/tex] - [tex]f(x_{1})[/tex] = 2

b. [tex]x_{2}[/tex] = [tex]x_{1}[/tex] - 6
[tex]f(x_{2})[/tex] = 1/2([tex]x_{1}[/tex] - 6) + 3
[tex]f(x_{2})[/tex] = 1/2x - 3 + 3
[tex]f(x_{2})[/tex] = 1/2x
[tex]f(x_{2})[/tex] - [tex]f(x_{1})[/tex] = (1/2x) - (1/2x + 3)
[tex]f(x_{2})[/tex] - [tex]f(x_{1})[/tex] = -3