Math Problem Statement

etermine whether the graph is that of a function by using the​ vertical-line test. In either​ case, use the graph to find the following. ​(a) The domain and range ​(b) The​ intercepts, if any ​(c) Any symmetry with respect to the​ x-axis, y-axis, or the origin -12 -6 6 12 -12 -6 6 12 x y

A coordinate system has a horizontal x-axis labeled from negative 12 to 12 in increments of 2 and a vertical y-axis labeled from negative 12 to 12 in increments of 2. Two branches of a curve are plotted. One branch opens to the right from the point left parenthesis 5 comma 0 right parenthesis and passes through the points (12.0, 6.6) and (12.0, negative 6.6). The second branch of the curve opens to the left from the point left parenthesis negative 5 comma 0 right parenthesis and passes through the points (negative 12.0, negative 6.6) and (negative 12.0, 6.6). All coordinates are approximate. Question content area bottom Part 1 Is the graph that of a​ function? A. ​No, the graph is not a function because a vertical line xequals=77 intersects the graph at two points. Your answer is correct.B. ​Yes, the graph is a function because every vertical line intersects the graph in more than one point. C. ​Yes, the graph is a function because every vertical line intersects the graph in at most one point. D. ​No, the graph is not a function because a vertical line xequals=77 intersects the graph at only one point. Part 2 ​(a) The domain is enter your response here. ​(Type your answer in interval​ notation.)

Solution

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Math Problem Analysis

Mathematical Concepts

Functions
Graphing
Vertical Line Test
Domain and Range
Symmetry

Formulas

Vertical Line Test: If a vertical line intersects the graph more than once, it is not a function.
Interval Notation: (a, b)

Theorems

Vertical Line Test

Suitable Grade Level

Grades 9-12