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Which of the statements is true regarding the function‘s intervals of increase and...
Which of the statements is true regarding the function‘s intervals of increase and decrease?
The function is decreasing when x< 4 and increasing when x> 4
The function is always decreasing
The function is always increasing
1 Answer | add yours
The image provided by the problem shows that the graph of the function intersects x axis at `x = 4` , hence, the equation of the function has a real solution at `x= 4` .
You may notice that the graph of the function goes down along a vertical line `x = 3` , parallel to y axis, hence, the graph of the function has a vertical asymptote `x = 3.`
You may notice that the the larger the x values are, the larger the y values are, hence, using the definition of increasing function `x_1<x_2 => y_1<y_2` , yields that the function is always increasing.
Hence, since the function is always increasing, you need to select the answer c).
Posted by sciencesolve on July 19, 2013 at 5:58 PM (Answer #1)
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