Question

evaluate the function graphically.

Explanation:

To evaluate the function graphically at a specific \( x \)-value (let's assume we need to find \( f(-5) \) based on the dot's position), we follow these steps:

Step 1: Identify the \( x \)-value

The dot is at \( x = -5 \). We look at the graph to find the corresponding \( y \)-value for \( x = -5 \).

Step 2: Determine the type of point (filled or open)

• The open circle at \( x = -5 \) would be a different function value, but the filled dot (closed circle) at \( x = -5 \) tells us the actual function value at that point.
• From the graph, the filled dot at \( x = -5 \) is at \( y = 4 \) (by counting the grid lines or using the slope-intercept form, but visually, it's clear the closed dot is at \( (-5, 4) \)).

If we assume we're evaluating \( f(-5) \):

Step1: Locate \( x = -5 \) on the x - axis.

Find the vertical line corresponding to \( x=-5 \).

Step2: Find the function's value at \( x=-5 \).

The filled (closed) dot at \( x = -5 \) gives the function's value. From the graph, this dot is at \( y = 4 \).

Answer:

If evaluating \( f(-5) \), the value is \( 4 \).

(Note: If the specific \( x \)-value to evaluate was not fully clear from the image, but based on the dot's position at \( x=-5 \), this is the typical interpretation. If a different \( x \)-value was intended, the process would be similar: locate \( x \), check the type of point (closed for defined value, open for excluded), and read the \( y \)-value.)