Answer:
f(x) = 3
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