Question

question 19 of 40
find the domain of the graphed function.

text description for graph

a. $-4 \leq x \leq 4$
b. $x \geq -4$
c. $x$ is all real numbers.
d. $-4 \leq x \leq 2$

Explanation:

Step1: Understand domain definition

Domain is the set of all x - values the function covers. For a graphed function, we look at the horizontal extent (left - most to right - most x - values).

Step2: Analyze the graph's x - values

The left - most point on the graph has an x - coordinate of - 4 (closed dot, so included), and the graph extends to the right without a right - most bound? Wait, no, looking at the graph: Wait, the left point is at x=-4 (closed circle) and the right point is at x = 2? Wait, no, re - examining: Wait the left dot is at x=-4 (since from the grid, the left point is at x=-4) and the right dot is at x = 2? Wait no, the options: Let's check the options. Wait the graph: the left end is at x=-4 (closed dot) and the right end is at x = 2? Wait no, the options are A: - 4≤x≤4, B: x≥ - 4, C: all real numbers, D: - 4≤x≤2. Wait, looking at the graph, the leftmost x - value is - 4 (closed dot) and the rightmost x - value is 2 (closed dot)? Wait no, the graph is a parabola - like curve. Wait, the left point is at x=-4 (so x starts at - 4) and the right point is at x = 2? Wait, no, maybe I misread. Wait the left dot: x - coordinate is - 4, and the right dot: x - coordinate is 2. So the domain is from x=-4 (inclusive) to x = 2 (inclusive). So the domain is - 4≤x≤2.

Answer:

D. $-4\leq x\leq2$