comparing graphs of functions\nwhich function has the greatest y - intercept?

Answer:

The second function has the greatest ( y )-intercept.

Explanation:

Step1: Recall the definition of ( y )-intercept

The ( y )-intercept of a function is the value of ( y ) when ( x = 0 ).

Step2: Find ( y )-intercepts for each graph

• For the first graph: When ( x = 0 ), ( y=-6).
• For the second graph: When ( x = 0 ), ( y = 7).
• For the third graph: When ( x = 0 ), ( y = 2).
• For the fourth graph: When ( x = 0 ), ( y = 1).

Step3: Compare the ( y )-intercepts

We have ( -6<1<2<7 ).

So the function in the second graph has the greatest ( y )-intercept.