MATH SOLVE

4 months ago

Q:
# 11. A biologist tracked the growth of a strain of bacteria, as shown inthe graph.a. Explain why the relationship represented by the graph is afunction.There are no repeatedhamberb. What If? Suppose there was the same number of bacteria for two consecutive hours. Would the graph still represent a Function? Explain...β

Accepted Solution

A:

In a function, each "x" can only have one "y" number. A relation can still be a function if a y-value has more than one x-value.Answer:11. a)The relationship represented by the graph is a function because it passes the vertical line test (VLT). Any vertical line you pass through the graph, it only "hits" one spot on the graph. For a relation to be a function, each x-value can only have one y-value. This means no hour can have two different amounts of bacteria.b)If there were the same number of bacteria for two consecutive hours, the graph would still represent a function. In this case, two values for "y" will have more than one value for "x". Although, each x-value still only has one y-value, so it's still a function.