Question

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

On a coordinate plane, a piecewise function has 2 lines. The first line has a closed circle at (negative 4, negative 4) and goes up to an open circle at (negative 1, 2). The second line has a closed circle at (negative 1, 3), continues horizontally to (1, 3), and then goes down to a closed circle at (4, 0).
What is the value of h(3)?

–2
–1
1
2

Answer 1

C- 1

Explanation:

peep the attachment (proof)

Answer 2

The value for h(3) is 1.

Coordinate (3,1)

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=(0-3)/(4-1)=(-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.