The graph of a function is shown.
Which function is represented by the graph?

Answer:

answer is B tho i jus know

Step-by-step explanation:

The piecewise function can be defined as, f(x) = x+3, if x<0 and f(x) =3, if  x≥0, Option B is correct.

A relation is a function if it has only One y-value for each x-value.

From the given figure it is easily noticed that the function is increasing in nature for x<0 and the function is constant in nature for x>0 because the value of y remains unchanged for any value of x, where x≥0

The value of function is 3 at x=0.

The value of the function is always 3 for all x≥0 .

f(x)=3 for x≥0

The function is a straight line with intercepts (-3,0) and (0,3).

slope = 3-0/0+3

=1

Let us find the y intercept

0=1(-3)+b

b=3

Now equation is y=x+3

For x<0, the function is,

f(x)=x+3

Therefore the piecewise function can be defined as, f(x) = x+3, if x<0 and f(x) =3, if  x≥0.

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