Answer:
1. C
2. A
3. A
Step-by-step explanation:
1. We can see that the following relations from the first figure:
As x ranges from [tex](-\infty,-1)[/tex], the value of f(x) > 0.
At x = 0, f(x) = 0.
As x ranges from [tex](1, \infty)[/tex], the value of f(x) < 0.
Hence, as [tex]x\rightarrow -\infty, f(x)\rightarrow\infty[/tex] and [tex]x\rightarrow \infty, f(x)\rightarrow -\infty[/tex]
So, option C is correct.
2. We can see from the options that A) f(x) ≥ 0 over [tex][5, \infty)[/tex] is correct.
Because, in option B) f(7) = 4 > 0 , in option C) f(-1) = 0 and in option D) f(-1) = 0, so these are discarded.
Hence, option A is correct.
3. Now, we know that y-intercept is the point where the line crosses y-axis i.e. when x=0.
As from the figure, we see that when x=0, then f(x)=0.
Hence, the y-intercept is only at (0,0).
So, option A is correct.
