Question

The illustration below shows the graph of

as a function of

.
Complete the following sentences based on the graph.
Initially, as

increases,



.
Afterward, the slope of the graph of the function is equal to
for all

between

and

.
The slope of the graph is equal to
for

between

and

.
The greatest value of

is

, and it occurs when

.
A graph of y as a function of x on the coordinate plane. The horizontal x axis runs from negative 1 to 10 in intervals of 1. The vertical y axis runs from negative 4 to 7 in intervals of 1. The function increases and decreases as it moves left to right. The function passes through the points (3, 0), (4, 2), (5, 4), (6, 3), (7, 2), (8, 1), and (9, 0).


2 of 10

Answer 1

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

Initially, as \( x \) increases, \( y \) increases.

Afterward, the slope of the graph of the function is equal to \( 0 \) for all \( x \) between \( 6 \) and \( 7 \).

The slope of the graph is equal to \( -1 \) for \( x \) between \( 7 \) and \( 9 \).

The greatest value of \( y \) is \( 4 \), and it occurs when \( x = 5 \).