Question
Find the domain and range of the relation and determine whether it is a function.
Question 4 graphA graph with horizontal axis x range from left to right labeled is negative 4 to 4; vertical axis y labeled from top to bottom is range from 4 to negative 4.
The graph shows an upward going curve starting from around left parenthesis 1 comma 0 right parenthesis. The curve goes toward the left sharply upward close along the right side of vertical asymptote x equals negative 2.
(1 point)
Responses
domain: positive integers; range: positive integers; No, it is not a function.
domain: positive integers; range: positive integers; No, it is not a function.
domain: x ≥ 0; range: y > –2; No, it is not a function.
domain: x ≥ 0; range: y > –2; No, it is not a function.
domain: all real numbers; range: all real numbers; Yes, it is a function.
domain: all real numbers; range: all real numbers; Yes, it is a function.
domain: x > –2; range: y > 0; Yes, it is a function.
Question 4 graphA graph with horizontal axis x range from left to right labeled is negative 4 to 4; vertical axis y labeled from top to bottom is range from 4 to negative 4.
The graph shows an upward going curve starting from around left parenthesis 1 comma 0 right parenthesis. The curve goes toward the left sharply upward close along the right side of vertical asymptote x equals negative 2.
(1 point)
Responses
domain: positive integers; range: positive integers; No, it is not a function.
domain: positive integers; range: positive integers; No, it is not a function.
domain: x ≥ 0; range: y > –2; No, it is not a function.
domain: x ≥ 0; range: y > –2; No, it is not a function.
domain: all real numbers; range: all real numbers; Yes, it is a function.
domain: all real numbers; range: all real numbers; Yes, it is a function.
domain: x > –2; range: y > 0; Yes, it is a function.
Answers
Answer
Which graph represents a function?
(1 point)
Responses
Graph 5aThe circle passes through the points left-parenthesis 0 comma 7 right-parenthesis, left-parenthesis 0 comma 1 right-parenthesis, left-parenthesis negative 1 comma 0 right-parenthesis, left-parenthesis negative 7 comma 0 right-parenthesis, left-parenthesis negative 7 comma 8 right-parenthesis, and left-parenthesis negative 8 comma 7 right-parenthesis.
Image with alt text: Graph 5a The circle passes through the points left-parenthesis 0 comma 7 right-parenthesis, left-parenthesis 0 comma 1 right-parenthesis, left-parenthesis negative 1 comma 0 right-parenthesis, left-parenthesis negative 7 comma 0 right-parenthesis, left-parenthesis negative 7 comma 8 right-parenthesis, and left-parenthesis negative 8 comma 7 right-parenthesis.
Graph 5bThe parabola opens to the right. It has a vertex at left-parenthesis 0 comma 0 right-parenthesis and is symmetric about the positive x-axis. It passes through the points left-parenthesis 4 comma 2 right-parenthesis and left-parenthesis 4 comma negative 2 right-parenthesis.
Image with alt text: Graph 5b The parabola opens to the right. It has a vertex at left-parenthesis 0 comma 0 right-parenthesis and is symmetric about the positive x-axis. It passes through the points left-parenthesis 4 comma 2 right-parenthesis and left-parenthesis 4 comma negative 2 right-parenthesis.
Graph 5cThe parabola opens downward. It has a vertex at left-parenthesis 0 comma 2 right-parenthesis and is symmetric about the y-axis. It passes through the points left-parenthesis negative 2 comma negative 1 right-parenthesis and left-parenthesis 2 comma negative 1 right-parenthesis.
Image with alt text: Graph 5c The parabola opens downward. It has a vertex at left-parenthesis 0 comma 2 right-parenthesis and is symmetric about the y-axis. It passes through the points left-parenthesis negative 2 comma negative 1 right-parenthesis and left-parenthesis 2 comma negative 1 right-parenthesis.
Graph 5d
(1 point)
Responses
Graph 5aThe circle passes through the points left-parenthesis 0 comma 7 right-parenthesis, left-parenthesis 0 comma 1 right-parenthesis, left-parenthesis negative 1 comma 0 right-parenthesis, left-parenthesis negative 7 comma 0 right-parenthesis, left-parenthesis negative 7 comma 8 right-parenthesis, and left-parenthesis negative 8 comma 7 right-parenthesis.
Image with alt text: Graph 5a The circle passes through the points left-parenthesis 0 comma 7 right-parenthesis, left-parenthesis 0 comma 1 right-parenthesis, left-parenthesis negative 1 comma 0 right-parenthesis, left-parenthesis negative 7 comma 0 right-parenthesis, left-parenthesis negative 7 comma 8 right-parenthesis, and left-parenthesis negative 8 comma 7 right-parenthesis.
Graph 5bThe parabola opens to the right. It has a vertex at left-parenthesis 0 comma 0 right-parenthesis and is symmetric about the positive x-axis. It passes through the points left-parenthesis 4 comma 2 right-parenthesis and left-parenthesis 4 comma negative 2 right-parenthesis.
Image with alt text: Graph 5b The parabola opens to the right. It has a vertex at left-parenthesis 0 comma 0 right-parenthesis and is symmetric about the positive x-axis. It passes through the points left-parenthesis 4 comma 2 right-parenthesis and left-parenthesis 4 comma negative 2 right-parenthesis.
Graph 5cThe parabola opens downward. It has a vertex at left-parenthesis 0 comma 2 right-parenthesis and is symmetric about the y-axis. It passes through the points left-parenthesis negative 2 comma negative 1 right-parenthesis and left-parenthesis 2 comma negative 1 right-parenthesis.
Image with alt text: Graph 5c The parabola opens downward. It has a vertex at left-parenthesis 0 comma 2 right-parenthesis and is symmetric about the y-axis. It passes through the points left-parenthesis negative 2 comma negative 1 right-parenthesis and left-parenthesis 2 comma negative 1 right-parenthesis.
Graph 5d
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