Question

1. Use the table and the graph to answer the questions.

Function 1

X -1 -2 -3 2 3

Y 3 5 7 -3 -5


Function 2

(a) What is the rate of change for each function? Show your work.
(b) Which function has the greater rate of change?

(function 2 is the graph)

Answer 1

The data given are
X -1 -2 -3 2 3
Y 3 5 7 -3 -5

which fits into the linear equation
y = -2x + 1

Function 2
The rate of change or the slope of the line
(3 - 0) /(0 - (-1) = 3

The rate of change of function 1 is -2
The rate of change of function 2 is 3

The function with the greater rate of change is function 2