Question

Write a linear function f with f(0) =3 and f(-6) =3. f (x) =

Answer 1

Answer:

f(x) = 3

Step-by-step explanation:

f(0) = 3  means you have the ordered pair (0, 3)

f(-6) = 3  means you have the ordered pair (-6, 3)

Form this point, you can look at the ordered pair and see that the y values are the same but the x values are difference.  This is a line with slope = 0 and the graph of the line is horizonal .  

But if you need more explanation see  below.

1. Find the slope using the ordered pair above

  slope = (3 - 3)/ (-6 - 0) = 0/-6 = 0  so the slope = 0

2.   Find the y intercept (b) by using the slope intercept formula: y = mx + b

    y = mx + b

     3 = 0(0) + b

      3 = b

equation of the line: y = 0x + 3;  y = 3 remember y = f(x)

so  f(x) = 3