Question

find the x- and y-intercepts of the graph.
list all the x-intercepts. select the correct choice and, if necessary, fill in the answer box to complete your choice.
a. -2,4
(type an integer or a simplified fraction. use a comma to separate answers as needed.)
b. there are no x-intercepts.

Explanation:

Step1: Recall x-intercept definition

The x-intercept is the point where the graph crosses the x-axis, so \( y = 0 \).

Step2: Identify x-intercepts from graph

Looking at the graph, the curve crosses the x-axis at \( x = -2 \) and \( x = 4 \). So the x-intercepts are the points \( (-2, 0) \) and \( (4, 0) \), and the x - values (the intercepts) are -2 and 4.

Step3: Check y-intercept (optional for this sub - question but for completeness)

The y - intercept is where \( x = 0 \). From the graph, when \( x = 0 \), \( y = 8 \), so the y - intercept is \( (0, 8) \). But for the x - intercepts, we focus on the x - values where \( y = 0 \).

Answer:

A. -2, 4