Questions: Given the graph of the parent function below, identify the name of the parent function and the domain range of the parent function Linear Function - Domain: (-∞, ∞) Range: (-∞, ∞) Cubic Function - Domain: (-∞, ∞) Range: (-∞, ∞) Cubic Function - Domain: [-∞, ∞] Range: [-∞, ∞] Linear Function - Domain: (-0, ∞) Range: (-∞, 0)

Given the graph of the parent function below, identify the name of the parent function and the domain range of the parent function Linear Function - Domain: (-∞, ∞) Range: (-∞, ∞) Cubic Function - Domain: (-∞, ∞) Range: (-∞, ∞) Cubic Function - Domain: [-∞, ∞] Range: [-∞, ∞] Linear Function - Domain: (-0, ∞) Range: (-∞, 0)
Transcript text: Given the graph of the parent function below, identify the name of the parent function and the domain & range of the parent function Linear Function - Domain: $(-\infty, \infty)$ Range: $(-\infty, \infty)$ Cubic Function - Domain: $(-\infty, \infty)$ Range: $(-\infty, \infty)$ Cubic Function - Domain: $[-\infty, \infty]$ Range: $[-\infty, \infty]$ Linear Function - Domain: $(-0, \infty)$ Range: $(-\infty, 0)$
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Solution

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Solution Steps

Step 1: Identify the type of function

The graph represents a cubic function because it has the shape of a basic $f(x) = x^3$ graph.

Step 2: Determine the domain

The graph extends infinitely to the left and right along the x-axis. Therefore, the domain is (-∞, ∞).

Step 3: Determine the range

The graph extends infinitely downwards and upwards along the y-axis. Therefore, the range is (-∞, ∞).

Final Answer: The correct answer is: Cubic Function - Domain: (-∞, ∞) Range: (-∞, ∞)

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