Answer:
1
Step-by-step explanation:
The last part of the line starts from (1,3) and goes to (4,0)
We have two points, so we figure out the equation of this line with the formula:
y = mx + b, where m is the slope and b is the y intercept
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{0-3}{4-1}=\frac{-3}{3}=-1[/tex]
So we can now write y = -x + b
Plugging in a point (1,3), we get:
3 = -1 + b
b = 3+1 = 4
The equation is y = -x + 4
To find h(3), we substitute 3 into x and find the value of y:
y = -x + 4
y = -3 + 4
y = 1
Thus, h(3) = 1
