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Determine Whether the Graph Is That of a Function {yy2 \{y \mid y \leq-2

Question 136

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.
- 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. -   A)  function domain: all real numbers range:   \{y \mid y \leq-2   or   y \geq 2\}   intercepts:   (-2,0) ,(2,0)    symmetry:   \mathrm{y}  -axis  B)  function domain:   \{x \mid-2 \leq x \leq 2\}   range: all real numbers intercepts:   (-2,0) ,(2,0)    symmetry:   x  -axis,   y  -axis  C)  function domain:   \{x \mid x \leq-2   or   x \geq 2\}   range: all real numbers intercepts:   (-2,0) ,(2,0)    symmetry:   \mathrm{x}  -axis,   \mathrm{y}  -axis, origin  D)   \text { not a function }


A)
function
domain: all real numbers
range: {yy2 \{y \mid y \leq-2 or y2} y \geq 2\}
intercepts: (2,0) ,(2,0) (-2,0) ,(2,0)
symmetry: y \mathrm{y} -axis

B)
function
domain: {x2x2} \{x \mid-2 \leq x \leq 2\}
range: all real numbers
intercepts: (2,0) ,(2,0) (-2,0) ,(2,0)
symmetry: x x -axis, y y -axis

C)
function
domain: {xx2 \{x \mid x \leq-2 or x2} x \geq 2\}
range: all real numbers
intercepts: (2,0) ,(2,0) (-2,0) ,(2,0)
symmetry: x \mathrm{x} -axis, y \mathrm{y} -axis, origin

D)
 not a function \text { not a function }


Correct Answer:

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