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
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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).
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