which statement is true about the end - behavior of the graphed function?\nas the x - values go to positive…

which statement is true about the end - behavior of the graphed function?\nas the x - values go to positive infinity, the functions values go to negative infinity.\nas the x - values go to zero, the functions values go to positive infinity.\nas the x - values go to negative infinity, the functions values are equal to zero.\nas the x - values go to positive infinity, the functions values go to positive infinity.
Answer
Explanation:
Step1: Analyze right - hand end - behavior
Examine the graph as (x\to+\infty). As we move towards the right (increasing (x) values), the graph of the function is going downwards. So, as (x) goes to positive infinity, the function's values go to negative infinity.
Step2: Analyze other statements
For the statement "As the (x) - values go to zero, the function's values go to positive infinity", from the graph, when (x\to0), the function value is not going to positive infinity. For "As the (x) - values go to negative infinity, the function's values are equal to zero", as (x\to-\infty), the function value is not zero. For "As the (x) - values go to positive infinity, the function's values go to positive infinity", this is contrary to what we observe from the graph.
Answer:
As the (x) - values go to positive infinity, the function's values go to negative infinity.