Question

The function f(x) = x − 1 is changed to f(x) = 1/4x - 1. Which describes the effect of the change on the graph of the original function?
A. The line will be steeper.
B. The line will be less steep.
C. Line changes from increasing to decreasing.
D. Line changes from decreasing to increasing.

Answer 1

Answer:

B

Step-by-step explanation:

f(x) is the equation of a line. The slope intercept form of a line is:

y = mx + b

where

m is the slope (rise/run)

b is the y-intercepts

Any change in the value of "m", the slope, changes the line to more steeper or flatter. What affect does different slopes have?

1. 0 < m < 1         >>> the line would be less step (flatter)

2. m > 1          >>>>>  Steeper line

Now, looking at equation, m is indeed between 0 and 1, so the line will be less steep, answer choice B.