Determine Whether the Graph Is That of a Function

question 13

Multiple Choice

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin.
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• A) function domain: {x|-7 ≤ x ≤7} Range: {y|-7 ≤ y ≤ 7} Intercepts: (-7, 0), (0, -7), (0, 0), (0, 7), (7, 0) Symmetry: origin
• B) function domain: {x|-7 ≤ x ≤7} range: {y|-7 ≤ y ≤ 7} intercepts: (-7, 0), (0, -7), (0, 7), (7, 0) symmetry: x-axis, y-axis, origin
• C) function domain: {x|-7 ≤ x ≤7} Range: {y|-7 ≤ y ≤ 7} Intercepts: (-7, 0), (0, -7), (0, 7), (7, 0) Symmetry: x-axis, y-axis
• D) not a function

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Definitions:

Shifting Demand Curve

A shifting demand curve occurs when there is a change in a non-price factor, such as consumer preference or income, altering the quantity demanded at any given price.

Price-Consumption Curve

A graphical representation that shows the combination of two goods that a consumer can purchase at different prices, keeping utility constant.

Utility

A measure of satisfaction or happiness that a consumer derives from consuming goods and services.

Income-Consumption Curve

Curve tracing the utility-maximizing combinations of two goods as a consumer’s income changes.