Is the relations a function? {(2, –4), (–2, 4), (2, 5), (5, –1), (–1, 5)} Select the best answer.
1 answer:
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Answer:
A: Function <em>f</em>.
Step-by-step explanation:
Let's find the maximum <em>y-</em>value of each function.
Function <em>f </em>is given by:
Remember that the value of cosine is always between -1 and 1. In other words:
Then assuming the greatest value for cosine, we can substitute it for one:
Function <em>g</em> is given by the graph.
Looking at the graph, we can see that the maximum <em>y-</em>value of <em>g</em> is 3.
Finally, function <em>h</em> is given by the table.
Looking at the table, the maximum <em>y-</em>value of <em>h</em> is -2.
Therefore, function <em>f</em> has the greatest maximum <em>y-</em>value.
Substituting into point-slope form,
