Question

The illustration below shows the graph of
\[y\] as a function of
\[x\].
Complete the sentences below based on the graph of the function.
As
\[x\] increases,
\[y\]

.
The rate of change for
\[y\] as a function of
\[x\] is

, therefore the function is

.
For all values of
\[x\], the function value
\[y\:\]

\[\:0\].
The
\[y\]-intercept of the graph is the function value
\[y=\:\]
.
When
\[x=6\], the function value
\[y=\:\]
.
A graph of y as a function of x on the coordinate plane. The horizontal x axis runs from negative 10 to 10 in intervals of 1. The vertical y axis runs from negative 10 to 10 in intervals of 1. The function increases as it moves left to right. The function passes through the points (0, 1), (2, 2), and (6, 7).

Answer 1

Based on the graph of the function, we can complete the sentences as follows:

As \(x\) increases, \(y\) **increases**.

The rate of change for \(y\) as a function of \(x\) is **positive**, therefore the function is **increasing**.

For all values of \(x\), the function value \(y\) **is greater than 0**.

The \(y\)-intercept of the graph is the function value \(y = \:1\).

When \(x = 6\), the function value \(y = \:7\).