To verify: whether an equation of the form
Answer to Problem 54HP
Never a function.
Explanation of Solution
Given information:
The equation
Formula used:
A function is a relation in which each element of the domain is paired with exactly one element in the range.
One-to −One function: Each element of the domain pairs exactly one unique element of the range.
Onto function: Each element of the range corresponds to an element of the domain.
Vertical−Test: If no vertical line intersects a graph in more than one point, the graph represents a function whereas if vertical line intersects a graph more than one point ,the graph does not represent a function.
Proof:
According to the question ,
If we sketch a graph
So, by vertical test we can say that the test fails when the line intersect more than one point.
Hence,
Chapter 2 Solutions
Algebra 2
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