Which 3-dimensional shape has 5 faces, 8 edges, and 5 vertices?
2 answers:
Answer:
Option C Quadrilateral pyramid
Step-by-step explanation:
Verify each case
case A) Triangular prism
The triangular prism has faces,
edges and
vertices
case B) Quadrilateral prism
The quadrilateral prism has faces,
edges and
vertices
case C) Quadrilateral pyramid
The quadrilateral pyramid has faces,
edges and
vertices
case D) Triangular pyramid
The triangular pyramid has faces,
edges and
vertices
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To be a function, it has to pass the vertical line test, which means a vertical line drawn anywhere in the graph should cut the graph only once, not more.
To be a one-to-one function, it has to pass the vertical line test as well as the horizontal line test, which means that a horizontal line drawn anywhere in the graph should cut the graph only once, not more.
<em>Of course, it passes the vertical line test, so its a function. </em>
<em>Does it pass the horizontal line test? </em><em>NO! </em><em>As shown in the attached picture, the blue line (horizontal line) cuts the graph at 3 places. We therefore eliminate choices A and B. We can eliminate choice C because nowhere is it required a function to pass through the origin for it to be one-to-one. Hence, the answer is D (blue line shows this).</em>
<em>ANSWER: D</em>
