Chapter 1.3, Problem 7E

Solution

To match: the given graph with its function and verify with graphing window $\left[-4.7,4.7\right]\times \left[-3.1\times 3.1\right]$ .

The given graph matches with option (k) $y=\mathrm{int}\left(x+1\right)$ .

Given information: The given graph is,

  

Formula used:

The graph of the function $y=f\left(x+h\right)$ is found by shifting the graph of the function $y=f\left(x\right)$ by $h$ units left.

Calculation:

See the shape of the graph.

The graph resembles to the graph of $y=\mathrm{int}x$ .

Consider the basic function $y=\mathrm{int}x$ .

Shift the graph 1 unit to left such that the $x$ -intercept is $1$ .

Thus, the graph of the function is $y=\mathrm{int}\left(x+1\right)$

The given graph matches with option (k).

Graph the function in the graphing window $\left[-4.7,4.7\right]\times \left[-3.1\times 3.1\right]$, by using graphing calculator:

  

Hence, the graph matches with option (k) $y=\mathrm{int}\left(x+1\right)$ .