Question

1. a table of values that represents a function is shown.

x	y
-3	0
-1	-2.8
0	-6
1	-8
2.2	-10.4
4.8	-15.6
10.2	-26.4

use the table of values to determine the indicated key features for the function that is represented.

key feature	description

| end behavior | as x-values increase, y-values
| x-intercept | the x-intercept is
| y-intercept | the y-intercept is
| slope | =

Explanation:

Step1: Analyze End Behavior

Check how \( y \)-values change as \( x \)-values increase. From \( x=-3 \) ( \( y = 0 \)) to \( x=-1 \) ( \( y=-2.8 \)), \( x=0 \) ( \( y=-6 \)), \( x=1 \) ( \( y=-8 \)), etc., as \( x \) increases, \( y \) decreases. So the description is "decrease".

Step2: Find x - intercept

The \( x \)-intercept is where \( y = 0 \). From the table, when \( y = 0 \), \( x=-3 \). So the \( x \)-intercept is \( -3 \).

Step3: Find y - intercept

The \( y \)-intercept is where \( x = 0 \). From the table, when \( x = 0 \), \( y=-6 \). So the \( y \)-intercept is \( -6 \).

Step4: Calculate Slope

Use two points, e.g., \( (x_1,y_1)=(-3,0) \) and \( (x_2,y_2)=(0,-6) \). The slope formula is \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Substitute values: \( m=\frac{-6 - 0}{0 - (-3)}=\frac{-6}{3}=-2 \). So the slope is \( -2 \).

Answer:

• End Behavior Description: decrease
• x - intercept: \( -3 \)
• y - intercept: \( -6 \)
• Slope: \( -2 \)