Which statement is true about the graphed function?F(x) < 0 over the interval (–∞, –4)F(x) < 0 over the interval (–∞, –3)F(x) > 0 over the interval (–∞, –3)F(x) > 0 over the interval (–∞, –4)
Accepted Solution
A:
Answer:F(x) >0 over the interval (-∞, -4)Step-by-step explanation:The function y= f(x) shows the different values that y takes, when x varies. In the picturewe see that y takes possitive values (y>0) when x < -4 , point from which the function y takes negative values. Then y= f(x) >0 from -∞ to -4, which means that y= f(x) >0 over the interval (-∞, -4).Remember that y is observed in the vertical axis, and a possitive value of y imply that is y is placed above the intersection with x axis (the intersection occurs in (x,y) = (0,0). On the other hand, when y is placed below the x axis, it takes negative values.Take into account that x is observed in the horizontal axis, and that is takes possitive values at the right of y axis, and negative values at the left of y axis.