Which graph represents the piecewise-defined function? {−4/5x−3   if  x< 0 y= { {3x−10   if  x≥2

The correct option is 1.

Explanation:

The given piecewise function is,

It means if x<0, then

If , then

Since the f(x) is defined for x<0 and , therefore the function f(x) is not defined for .

From the graph 2, 3 and 4 we can easily noticed that for each value of x there exist a unique value of y, therefore the function is defined for all values of x, which is not true according to the given piecewise function.

Only in figure the value of y not exist when x lies between 0 to 2, including 0. It means the function is not defined for , hence the first option is correct.

answer: a.   one is a factor of every whole number since every number is divisible by itself.