Which graph represents the piecewise function?

x+3   if  x< 0

2x if x ≥ 0

Graph 1 will be the correct one.

Step-by-step explanation:

We are given the piece wise function defined as  

f(x) = x + 3 for x < 0 and f(x) = 2x for x ≥ 0

The first part of the function does not include x = 0.

And, this is in slope-intercept form.

So, slope is 1 i.e. tan Ф = 1, ⇒ Ф = 45°.

And it has y-intercept at (0,3).

So, the conditions are shown in graphs 1 and 3.

Now, the second part of the function equation passes through origin {As the equation is f(x) = 2x}

So, only graph 1 matches both the conditions.

Therefore, graph 1 will be the correct one. (Answer)

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

maybe i can