Question

On a coordinate plane, a line with a 90-degree angle crosses the x-axis at (negative 4, 0), turns at (negative 1, 3), crosses the y-axis at (0, 2) and the x-axis at (2, 0). What is the range of the function on the graph?

Answer 1

Answer:

maximum value of y = 3

Step-by-step explanation:

line Starts at -4 , 0   & turns at - 1 , 3

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

y = x + c

=> 0 = - 4 + c => c = 4

=> y = x + 4

line after turning crosses the y-axis at (0, 2) and the x-axis at (2, 0)

slope of this line :  (0-2)/(2-0) = -1

y = - x + c

2 = 0 + c => c = 2

=> y = - x + 2

=> y = 2 - x

Values Drawn

x y

-4 0

-3 1

-2 2

-1 3

0 2

1 1

2 0