Question

The function f(x) is shown in this graph.

Answer 1

Answer:

D. The slope of f(x) is less than the slope of g(x).

Step-by-step explanation:

✔️Slope of f(x):

Using two points on the line, (0, 2) and (1, -1),

Slope (m) = change in y/change in x

Slope (m) = (-1 - 2)/(1 - 0) = -3/1 = -3

Slope of f(x) = -3

✔️Slope of g(x) = -5x - 6:

The slope of g(x) is -5.

Therefore f(x) has a lesser absolute slope value (3) compared to the absolute slope value of g(x) (5).

Thus, D. the slope of f(x) is less than the slope of g(x).