How many real roots does the continuous function f of a variable x shown below have in the interval 0.5 < x < 4.5?
Solution:
A real root is a value of x where the graph crosses the x-axis, meaning f(x) = 0 at that point.
From the graph:
The curve is always above the x-axis between x = 0.5 and x = 4.5.
It dips down in some places but never touches or crosses the x-axis.
Therefore, there is no value of x in that interval where f(x) = 0.
Final Answer: D) None
There are no real roots of the function in the interval 0.5 < x < 4.5.
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How many real roots does the continuous function f of a variable x shown below have in the interval 0.5 < x < 4.5?
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