Question

Which step is included in the graph of the function f(x)=1x−11?

A) y=−5 for −4≤x<−3
B) y=−2 for −2≤x<−1
C) y=−2 for −2≤x<−3
D) y=−5 for −4≤x<−1

Answer 1

The correct step included in the graph of the function f(x) = 1x - 11 is y = -5 for -4 ≤ x < -1.

Step-by-step explanation:

The correct step included in the graph of the function f(x) = 1x - 11 is option D: y = -5 for -4 ≤ x < -1.

To determine this, let's break down the function and its graph. The function is a linear equation that represents a straight line. The coefficient of x is 1, which means the slope is 1. The y-intercept is -11.

In option D, the function y = -5 for -4 ≤ x < -1 satisfies the given function, as it has a slope of 1 and a y-intercept of -11. Thus, option D represents the step included in the graph of the function f(x) = 1x - 11.