Question

He piecewise function h(x) is shown on the graph.

Answer 1

Answer:

Looking at the graph, (I have it up on Edge right now) I would say 1.

Step-by-step explanation:

Answer 2

Answer:

The value for h(3) is 1.

Coordinate (3,1)

Step-by-step explanation:

The value on h(3) is located in the last part of the piecewise function, which starts at (1,3) until (4,0). To know the exact image of h(3), we can find the function that belongs to that piece of line, and then calculated the asked value.

So, to calculate the equation, we first have to find the slope with its definition, and then we'll use the point-slope formula to find the equation:

$m=\frac{0-3}{4-1}=\frac{-3}{3}=-1$

$y-y_{1}=m(x-x_{1})\\y-0=-1(x-4)\\y=-x+4$

So, for x = 3, we have:

$y=-x+4$

$y=-3+4=1$

Therefore, the coordinates is (3,1), that is, the value for h(3) is 1.