Question

This mapping represents a function named f .

Answer 1

Answer:

Last option (the drawn)

Step-by-step explanation:

The following points correspond to f:

(3, -2), (9, 2)

The slope of the line (m) is:

m = (2 - (-2))/(9 - 3) = 4/6 = 2/3

Therefore, the first option is incorrect (its slope is 3/2).

To find the y-intercept (b) of the line, we replace a known point and the slope into the general equation:

y = mx + b

2 = 2/3(9) + b

b = 2 - 6

b = -4

Therefore, the third option is incorrect (it add 4 instead of subtracting 4).

Replacing x = 6 into the equation we get:

y = 2/3(6) - 4

y = 0

then, point (6, 0) belongs to the line. Therefore, the second option is incorrect (it has the point (6, 1) instead); and the fourth option is correct (it is a line that includes points (0, -4) and (6, 0)).