Question

Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written

using function notation?
a- MY = - van
b- f() = - 3x + 4
c- f(x) = - *x+
d- fly) = -3y+ 4

Answer 1

The given function 9x + 3y = 12 can be rewritten in function notation as f(x) = 4 - 3x after isolating y and expressing it in the form of y = mx + b, with m as the slope and b as the y-intercept.

Step-by-step explanation:

The function represented by 9x + 3y = 12 with x as the independent variable can be rewritten in function notation by solving for y. First, we isolate y by subtracting 9x from both sides, resulting in 3y = 12 - 9x. Then, we divide by 3 to solve for y, giving us y = 4 - 3x. In function notation, this would be written as f(x) = 4 - 3x, so the correct option would be f(x) = -3x + 4.

To write a function in this form, remember that the general form is y = mx + b, where m is the slope and b is the y-intercept. Here, the slope (m) is -3 and the y-intercept (b) is 4.